Yes, a googol - and a googolplex is a one with a googol of noughts after it.
The trouble with this business of saying that ,because many people have started calling a miliard a billion, we must all therefore conform, is that it makes no arithmetical or linguistic sense.
The 'bi' in billion denotes the raising of a million to the power of two, a trillion the raising of a million to the third power and so on. Look what happens with the American version:
A billion is a million to the power of 1 1/2
trillion 2
quadrillion 2 1/2
quintillion 3
...and so absurdly on.
Sorry, but I have too much respect for language to follow sheeplike such a daft system.
In my youth when the press talked of a billion dollars they always used to precede the figure with an 'A' to denote the cheap, plastic American version, not the solid oak British.
The dictionary gives both versions, of course, because dictionaries are there to tell how words are used, not how they should be.
End of pompous lecture.