100131112120 has 64 divisors (see below), whose sum is σ = 243713675520. Its totient is φ = 36805653504.

The previous prime is 100131112117. The next prime is 100131112171. The reversal of 100131112120 is 21211131001.

It is a happy number.

It is a super-2 number, since 2×100131112120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 100131112120.

It is a congruent number.

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, 315789 + ... + 547708.

It is an arithmetic number, because the mean of its divisors is an integer number (3808026180).

Almost surely, 2^100131112120 is an apocalyptic number.

100131112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100131112120 is an abundant number, since it is smaller than the sum of its proper divisors (143582563400).

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

100131112120 is a wasteful number, since it uses less digits than its factorization.

100131112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863744 (or 863740 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 100131112120 its reverse (21211131001), we get a palindrome (121342243121).

The spelling of 100131112120 in words is "one hundred billion, one hundred thirty-one million, one hundred twelve thousand, one hundred twenty".