Googolplex

The googolplex (other name maximusgoogol) is a variant of the googol, equal to $$10^{10^{100}}$$ or one followed by a googol ($$10^{100}$$) zeroes. It is unclear as to who coined this number, but Edward Kasner and Milton Sirotta are popular choices.

Contrary to popular belief, googolplex is neither the largest number nor the largest named number. For example, googolplex is easily beaten by other named numbers such as the giggol.

In Conway-Wechsler notation, it is

ten trillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentilli

trestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestriginta

trecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentilli trestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitres

trigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestriginta

trecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentilli

duotrigintatrecentillion

The company Google named their headquarters "the Googleplex."

Numbers near googolplex
Dario Alpern maintains a website listing the known factors of $$10^{10^{100}} + n$$, where $$n = 0$$, 1, 2, 3, 4, .... The case $$n = 1$$ has the smallest known factor 316912650057057350374175801344000001, found by Robert Harley. $$10^{10^{100}} + 37$$ is the smallest with no known prime factors.