100110120012120 has 64 divisors (see below), whose sum is σ = 300334872096000. Its totient is φ = 26695630931328.

The previous prime is 100110120012113. The next prime is 100110120012181. The reversal of 100110120012120 is 21210021011001.

It is a super-2 number, since 2×100110120012120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100110120012096 and 100110120012105.

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, 1796991 + ... + 14263569.

It is an arithmetic number, because the mean of its divisors is an integer number (4692732376500).

Almost surely, 2^{100110120012120} is an apocalyptic number.

100110120012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110120012120 is an abundant number, since it is smaller than the sum of its proper divisors (200224752083880).

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

100110120012120 is a wasteful number, since it uses less digits than its factorization.

100110120012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12533512 (or 12533508 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100110120012120 its reverse (21210021011001), we get a palindrome (121320141023121).

The spelling of 100110120012120 in words is "one hundred trillion, one hundred ten billion, one hundred twenty million, twelve thousand, one hundred twenty".