Gargoogol-plexed

Gargoogol-plexed is equal to E200#2 = EE200 = 1010200, using Hyper-E notation. It is equal to 1 followed by a gargoogol zeros. It is 10200+1 digits long. This number is a Saibianism, like almost all of the numbers prefixed by the fuga- family of prefixes as discussed by Alistair Cockburn.
When evaluating gargoogolplex, the -plex suffix is evaluated first, making the result the square of a googolplex. If the gar- prefix is evaluated first, the result is 10 to the power of googol-squared, which is a much larger number (it is equal to googolplex to the power of googol, while gargoogolplex is googolplex to the power of 2).
Username5243 calls this number gooducolplex, and it's equal to 10[1]10[1]200 in Username5243's Array Notation.
BlankEntity calls this number Protactinillion.
Writing down the full decimal expansion would take 10194 books of 400 pages each, with 2,500 digits on each page (except for the first, which would have 2,501).
==Names in -illion systems==
In Conway-Wechsler system,Conway and Guy (1995) "The book of Numbers" Copernicus. pp.14-15. \(10^{10^{200}}\) is expressed in short scale as follows by using Fish's result,Fish Illion name of 10^10^x in Conway-Wechsler system 2021-12-25Fish Illion name of 10^10^x in Conway-Wechsler system 2021-12-25 it is
or
According to Landon Curt Noll's The English name of a number, gargoogol-plexed is also known as:
where millia^n shows n times repetition of "millia".
==Approximations==
Notation 	Lower bound 	Upper bound
Arrow notation 	\(10\uparrow10\uparrow200\) 	\(10\uparrow10\uparrow200\)
Down-arrow notation 	\(10\downarrow\downarrow201\) 	\(10\downarrow\downarrow201\)
Steinhaus-Moser Notation 	99[3][3] 	100[3][3]
Copy notation 	9[9[200]] 	1[1[201]]
H* function 	H(33H(65)) 	H(34H(65))
Taro's multivariable Ackermann function	A(3,A(3,663)) 	A(3,A(3,664))
Pound-Star Notation 	#*((1))*((42))*7 	#*((1))*((43))*7
BEAF 	{10,{10,200}} 	{10,{10,200}}
Hyper-E notation 	E200#2 	E200#2
Bashicu matrix system 	(0)(1)[25] 	(0)(1)[26]
Hyperfactorial array notation 	(119!)! 	(120!)!
Fast-growing hierarchy 	\(f_2(f_2(656))\) 	\(f_2(f_2(657))\)
Hardy hierarchy 	\(H_{\omega^22}(656)\) 	\(H_{\omega^22}(657)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^{\omega^22}}}(10)\)	\(g_{\omega^{\omega^{\omega^22}}}(10)\)
==Sources==
Category:Numbers
Category:Numbers by Sbiis Saibian
Category:Class 3
Category:Googol series
Category:Upper class 3