<PAGE>   1
                                                                   EXHIBIT 10.22

                                NEORX CORPORATION
                   NONQUALIFIED STOCK OPTION LETTER AGREEMENT
                                JANUARY 17, 2001


TO:  CARL S. GOLDFISCHER

We are pleased to inform you that you have been granted a nonqualified stock
option under the NeoRx Corporation Restated 1994 Stock Option Plan (the "Plan")
for the purchase of 150,000 shares of NeoRx Corporation's (the "Company") common
stock at an exercise price of $8.0625 per share, pursuant to the terms and
conditions set forth below and in the Company Plan. A copy of the Plan is
attached and incorporated into this Agreement by reference.

The terms of the option are as set forth in the Plan and in this Agreement. The
most important of the terms set forth in the Plan are summarized as follows:

        DATE OF GRANT: The date of grant of the option is January 17, 2001.

        VESTING: The option shall vest and become exercisable, subject to
shareholder approval of the Plan, in accordance with the following schedule:

        Monthly in equal fractions over 18 months, with the first fraction
vesting on February 17, 2001.

        TERM: The option will expire upon the earlier of ten years from the date
of grant or two years after your termination of service as a Consultant to the
Company, unless sooner terminated.

        EXERCISE: During your lifetime only you can exercise the option. The
Plan also provides for exercise of the option by the personal representative of
your estate or the beneficiary thereof following your death.

        PAYMENT FOR SHARES: The option may be exercised by the delivery of:

        (1) Cash, personal check (unless, at the time of exercise, the Plan
Administrator determines otherwise), bank certified or cashiers check;

        (2) Unless the Plan Administrator in its sole discretion determines
otherwise, shares of the capital stock of the Company held by you for a period
of at least six months having a fair market value at the time of exercise, as
determined in good faith by the Plan Administrator, equal to the exercise price;
or (3) A properly executed exercise notice together with irrevocable
instructions to a broker to promptly deliver to the Company the amount of sale
or loan proceeds to pay the exercise price.

        TERMINATION: If you cease to be a Consultant to the Company for any
reason other than death or termination for cause, and unless by its terms this
option sooner terminates or expires, then you may exercise, for a two-year
period, that portion of your option which is exercisable at the time of such
cessation, but the option shall terminate at the end of such period following
such cessation as to all shares for which it has not theretofore been exercised.

<PAGE>   2

        DEATH OF OPTIONEE: If you die while serving as a Consultant to the
Company or within the two-year period following cessation of such service, this
option may, to the extent that you would have been entitled to exercise this
option, be exercised within one year after your death by the personal
representative of your estate or by the person or persons to whom your rights
under this option shall pass by will or by the applicable laws of descent and
distribution, unless sooner terminated.

        STATUS OF SHAREHOLDER: Neither you nor any person or persons to whom
your rights and privileges under this option may pass shall be, or have any of
the rights or privileges of, a shareholder of the Company with respect to any of
the shares issuable upon the exercise of this option unless and until this
option has been exercised.

        CONTINUATION OF STATUS AS CONSULTANT: Nothing in this Agreement shall
confer upon you any right to continue as a Consultant to the Company, or to
interfere in any way with the right of the Company to terminate your service as
a Consultant to the Company at any time.

        TRANSFER OF OPTION: This option and the rights and privileges conferred
hereby may not be transferred, assigned, pledged or hypothecated in any manner
(whether by operation of law or otherwise) other than by will, by the applicable
laws of descent and distribution, and shall not be subject to execution,
attachment or similar process. Any attempt to transfer, assign, pledge,
hypothecate or otherwise dispose of this option or of any right or privilege
conferred hereby, contrary to law or to the provisions of this Agreement, or the
sale or levy or any attachment or similar process upon the rights and privileges
conferred hereby shall be null and void.

        HOLDING PERIOD: Shares of common stock obtained upon the exercise of
this option may not be sold until six months after the date the option was
granted.

        Your particular attention is directed to the section(s) of the Plan
which describe(s) certain important conditions relating to federal and state
securities laws that must be satisfied before the option can be exercised and
before the company can issue any shares to you. The Company intends to maintain
an effective registration statement with respect to the shares that will be
issued upon exercise of this option but has no obligation to do so. If there is
no effective registration statement, you will not be able to exercise the option
or sell the option shares unless exemptions from registration under federal and
state securities laws are available. Such exemptions are very limited and might
be unavailable. Consequently, you might have no opportunity to exercise the
option and to receive shares upon such exercise. Please execute the Acceptance
and Acknowledgment set forth below and return it to the undersigned.

NEORX CORPORATION


--------------------------------
PAUL G. ABRAMS
CHIEF EXECUTIVE OFFICER


<PAGE>   3


                          ACCEPTANCE AND ACKNOWLEDGMENT

I, Carl S. Goldfischer, a resident of the State of California, accept the
nonqualified stock option described above and in NeoRx Corporation's 1994 Stock
Option Plan, and acknowledge receipt of a copy of this Agreement, including a
copy of the Plan. I have read and understand the Plan, including the
provision(s) relating to federal and securities law.


        Dated:__________________                   _____________________________


Taxpayer I.D. Number

By signing below, the spouse of the Optionee, if such Optionee is legally
married as of the date of execution of this Agreement, acknowledges that (s)he
has read this Agreement and the Plan and is familiar with the terms and
provisions thereof, and agrees to be bound by all the terms and conditions of
this Agreement and the Plan.


        Dated:__________________                   _____________________________


By signing below, the Optionee represents that (s)he is not legally married as
of the date of execution of this Agreement.


        Dated:__________________                   _____________________________