100992288120 has 64 divisors (see below), whose sum is σ = 305808462720. Its totient is φ = 26679579264.

The previous prime is 100992288113. The next prime is 100992288149. The reversal of 100992288120 is 21882299001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3919882 + ... + 3945561.

It is an arithmetic number, because the mean of its divisors is an integer number (4778257230).

Almost surely, 2^100992288120 is an apocalyptic number.

100992288120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100992288120 is an abundant number, since it is smaller than the sum of its proper divisors (204816174600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100992288120 is a wasteful number, since it uses less digits than its factorization.

100992288120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7865564 (or 7865560 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The spelling of 100992288120 in words is "one hundred billion, nine hundred ninety-two million, two hundred eighty-eight thousand, one hundred twenty".