101920504000 has 112 divisors (see below), whose sum is σ = 288464304960. Its totient is φ = 34944153600.

The previous prime is 101920503961. The next prime is 101920504027. The reversal of 101920504000 is 405029101.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×101920504000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 854005 + ... + 966004.

Almost surely, 2^101920504000 is an apocalyptic number.

101920504000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101920504000 is an abundant number, since it is smaller than the sum of its proper divisors (186543800960).

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

101920504000 is an equidigital number, since it uses as much as digits as its factorization.

101920504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820043 (or 1820023 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The spelling of 101920504000 in words is "one hundred one billion, nine hundred twenty million, five hundred four thousand".