100311123120 has 160 divisors (see below), whose sum is σ = 339602264064. Its totient is φ = 24344140800.

The previous prime is 100311123113. The next prime is 100311123127. The reversal of 100311123120 is 21321113001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100311123113) and next prime (100311123127).

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 100311123120.

It is not an unprimeable number, because it can be changed into a prime (100311123127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4896 + ... + 447935.

Almost surely, 2^100311123120 is an apocalyptic number.

100311123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100311123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169801132032).

100311123120 is an abundant number, since it is smaller than the sum of its proper divisors (239291140944).

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

100311123120 is a wasteful number, since it uses less digits than its factorization.

100311123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452931 (or 452925 counting only the distinct ones).

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

Adding to 100311123120 its reverse (21321113001), we get a palindrome (121632236121).

The spelling of 100311123120 in words is "one hundred billion, three hundred eleven million, one hundred twenty-three thousand, one hundred twenty".