100311312120 has 64 divisors (see below), whose sum is σ = 300971376000. Its totient is φ = 26746355328.

The previous prime is 100311312109. The next prime is 100311312161. The reversal of 100311312120 is 21213113001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100311312120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1005871 + ... + 1101089.

It is an arithmetic number, because the mean of its divisors is an integer number (4702677750).

Almost surely, 2^100311312120 is an apocalyptic number.

100311312120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100311312120 is an abundant number, since it is smaller than the sum of its proper divisors (200660063880).

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

100311312120 is a wasteful number, since it uses less digits than its factorization.

100311312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104012 (or 104008 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100311312120 its reverse (21213113001), we get a palindrome (121524425121).

The spelling of 100311312120 in words is "one hundred billion, three hundred eleven million, three hundred twelve thousand, one hundred twenty".