110111100110120 has 64 divisors (see below), whose sum is σ = 249451062426000. Its totient is φ = 43742115420160.

The previous prime is 110111100110119. The next prime is 110111100110159. The reversal of 110111100110120 is 21011001111011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 86924929809316 + 23186170300804 = 9323354^2 + 4815202^2 .

It is a super-2 number, since 2×110111100110120² (a number of 29 digits) contains 22 as substring.

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, 37448582 + ... + 40281738.

Almost surely, 2^{110111100110120} is an apocalyptic number.

110111100110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110111100110120 is an abundant number, since it is smaller than the sum of its proper divisors (139339962315880).

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

110111100110120 is a wasteful number, since it uses less digits than its factorization.

110111100110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839838 (or 2839834 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 110111100110120 its reverse (21011001111011), we get a palindrome (131122101221131).

The spelling of 110111100110120 in words is "one hundred ten trillion, one hundred eleven billion, one hundred million, one hundred ten thousand, one hundred twenty".