100120497120 has 240 divisors, whose sum is σ = 403819704288. Its totient is φ = 22884664320.

The previous prime is 100120497101. The next prime is 100120497157. The reversal of 100120497120 is 21794021001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×100120497120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 461091 + ... + 642530.

Almost surely, 2^100120497120 is an apocalyptic number.

100120497120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120497120 is an abundant number, since it is smaller than the sum of its proper divisors (303699207168).

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

100120497120 is a wasteful number, since it uses less digits than its factorization.

100120497120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103655 (or 1103638 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 100120497120 in words is "one hundred billion, one hundred twenty million, four hundred ninety-seven thousand, one hundred twenty".