102072201099972 has 96 divisors (see below), whose sum is σ = 245880945636480. Its totient is φ = 32936440104960.

The previous prime is 102072201099949. The next prime is 102072201099983. The reversal of 102072201099972 is 279990102270201.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 981213322 + ... + 981317342.

It is an arithmetic number, because the mean of its divisors is an integer number (2561259850380).

Almost surely, 2^{102072201099972} is an apocalyptic number.

102072201099972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102072201099972 is an abundant number, since it is smaller than the sum of its proper divisors (143808744536508).

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

102072201099972 is a wasteful number, since it uses less digits than its factorization.

102072201099972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121013 (or 121011 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 51.

The spelling of 102072201099972 in words is "one hundred two trillion, seventy-two billion, two hundred one million, ninety-nine thousand, nine hundred seventy-two".