100112012220120 has 128 divisors (see below), whose sum is σ = 300866468221440. Its totient is φ = 26649394329600.

The previous prime is 100112012220097. The next prime is 100112012220149. The reversal of 100112012220120 is 21022210211001.

It is a super-2 number, since 2×100112012220120² (a number of 29 digits) contains 22 as substring.

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 100112012220120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1025153295 + ... + 1025250945.

It is an arithmetic number, because the mean of its divisors is an integer number (2350519282980).

Almost surely, 2^{100112012220120} is an apocalyptic number.

100112012220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112012220120 is an abundant number, since it is smaller than the sum of its proper divisors (200754456001320).

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

100112012220120 is a wasteful number, since it uses less digits than its factorization.

100112012220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112665 (or 112661 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100112012220120 its reverse (21022210211001), we get a palindrome (121134222431121).

The spelling of 100112012220120 in words is "one hundred trillion, one hundred twelve billion, twelve million, two hundred twenty thousand, one hundred twenty".