100310111120 has 20 divisors (see below), whose sum is σ = 233221008540. Its totient is φ = 40124044416.

The previous prime is 100310111113. The next prime is 100310111123. The reversal of 100310111120 is 21111013001.

It is a happy number.

100310111120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 71594775184 + 28715335936 = 267572^2 + 169456^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (100310111123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 626938115 + ... + 626938274.

It is an arithmetic number, because the mean of its divisors is an integer number (11661050427).

Almost surely, 2^100310111120 is an apocalyptic number.

100310111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100310111120 is an abundant number, since it is smaller than the sum of its proper divisors (132910897420).

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

100310111120 is a wasteful number, since it uses less digits than its factorization.

100310111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253876402 (or 1253876396 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 100310111120 its reverse (21111013001), we get a palindrome (121421124121).

The spelling of 100310111120 in words is "one hundred billion, three hundred ten million, one hundred eleven thousand, one hundred twenty".