No public law in any state requires you to get rental insurance. But you can still be forced to buy it and maintain it if the landlord decides that you must.
It is even possible for a landlord to change the terms of a previously signed month-to-month rental agreement so you can be required to buy renters insurance after receiving a notice.
Landlords usually don’t stipulate how much coverage you are required to have, but they will state the required levels of liability coverage. A typical liability limit is $100,000, but it’s not uncommon for landlords to require more than that.