Dugoogodul is a number in the googol family in which the du- prefix and -du- infixes are applied to the operation and the base simultaneously a googol is transformed into g(2, 1, 2, 2, 50, 100) = g(g(2, 50, 100), 50, g(2, 50, 100), a googol-googolpliated-to-the-fifieth.