# Googol

The number \begin{equation*} 10^{100}, \end{equation*} having $100$ zeroes when written in decimal. In spite of this large size, such numbers can be worked with on modern (1998) networks of computers. See, e.g., [a1] for the factorization of the $180$-digit number $(12^{167}+1)/13$ into two prime factors of $75$ and $105$ digits, respectively.

The number $1$ followed by a googol of zeros is called the googolplex.

The "Game of googol" is a betting game that is equivalent to the secretary problem. It dates from around 1958 and is described in [a2]. Its name derives from the fact that it does not matter how large the numbers are that are chosen in the game.