I really appreciate today's livestream on ask maths anything, but I still have a few questions not answered; can someone help me here?

One googol is the number \(G = \) \(10^{100} \) and one googolplex is the number \(n^n < 10^G \). How many digits does \(n\) have?

Prove that 38 is the largest even integer that is not the sum of two positive odd composite numbers.