10113111110120 has 32 divisors (see below), whose sum is σ = 22754696686920. Its totient is φ = 4045209477120.

The previous prime is 10113111110107. The next prime is 10113111110159. The reversal of 10113111110120 is 2101111131101.

It can be written as a sum of positive squares in 4 ways, for example, as 8937313537156 + 1175797572964 = 2989534^2 + 1084342^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10113111110095 and 10113111110104.

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 7 ways as a sum of consecutive naturals, for example, 3871004 + ... + 5933876.

Almost surely, 2^{10113111110120} is an apocalyptic number.

10113111110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10113111110120 is an abundant number, since it is smaller than the sum of its proper divisors (12641585576800).

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

10113111110120 is a wasteful number, since it uses less digits than its factorization.

10113111110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185445 (or 2185441 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 10113111110120 its reverse (2101111131101), we get a palindrome (12214222241221).

The spelling of 10113111110120 in words is "ten trillion, one hundred thirteen billion, one hundred eleven million, one hundred ten thousand, one hundred twenty".