I wanted to note that this only applies to 10^10^100. If googolplex means 10^(10^100), then it would be a completely different number. This is because what is inside the parenthesis needs to get evaluated first. In this case it would be 10^(1 followed by 100 zeroes). By using a little bit of mathematical induction you can conclude that it has a googol amount of zeroes. For instance, 10^7 has 7 zeroes, 10^10000 has 10000 zeroes, and therefore 10^(10^100) has 10^100 (googol amount of zeroes). But it seems like the article doesn't put the parenthesis.