Yes, it's 10^googolplex.
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There are a bunch of them between googolplexian and infinity. Here are the first few: googolplexian + 1 googolplexian + 2 googolplexian + 3 googolplexian + 4 googolplexian + 5 googolplexian + 6 . . googolplexian + 3 million . . etc. There are an infinite number of those.
Yes. After googolplex.
No. You can always add one to a number, to get a larger number.
To write a googolplexian, you would start with a 1 followed by a googolplex number of zeros. A googolplex is 10 raised to the power of a googol, which is 10^100. So a googolplex is 10^(10^100). Therefore, a googolplexian would be written as 10^(10^(10^100)).
There is no such number. In any case, you would not be able to distinguish it from a circle since there are far fewer atoms in the universe than the number of vertices that such a figure would have. I would settle for calling it a googolplexian-gon.