1 googol = 10100
1 googolplex = 10googol
1 googolplex = 1010^100 = 101000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
(1 googolplex)2 = 101000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
* 101000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
= 102000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Therefore, a googolplex squared is equal to a one followed by two googol zeros. So there you have it, messy but true.
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A googol is 10 raised to the power of 100, which is 1 followed by 100 zeros. Therefore, a googolplex is 10 raised to the power of a googol, or 10^(10^100). Squaring a googolplex would involve multiplying it by itself, resulting in a number that is astronomically large and practically impossible to write out due to its immense size.
10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 times itself
A googol is 10^100, and a googolplex is 10^googol, which is 10^(10^100). So, googolplex raised to the power of googolplex would be (10^(10^100))^(10^(10^100)). This can be simplified to 10^(10^100 * 10^(10^100)), which is an incredibly large number with 10^10000 digits.
There are one googol 0's in a googolplex.
No, Infinity is never ending, where as a googolplex is a fixed number.
The largest real number that has been named is googolplex. What about 10^googolplex or googolplex^googolplex? The answer comes from the theory of non-computable functions. Scott Aaronson from MIT has a brilliant essay about it. See below for related link
No googolplex is a number however infinity is not it is a word or a symbol