100112120121020 has 96 divisors (see below), whose sum is σ = 243169136114688. Its totient is φ = 33909880753152.

The previous prime is 100112120121017. The next prime is 100112120121029. The reversal of 100112120121020 is 20121021211001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 100112120120986 and 100112120121004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112120121029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1075884137 + ... + 1075977183.

It is an arithmetic number, because the mean of its divisors is an integer number (2533011834528).

Almost surely, 2^{100112120121020} is an apocalyptic number.

100112120121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112120121020 is an abundant number, since it is smaller than the sum of its proper divisors (143057015993668).

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

100112120121020 is a wasteful number, since it uses less digits than its factorization.

100112120121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185739 (or 185737 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100112120121020 its reverse (20121021211001), we get a palindrome (120233141332021).

The spelling of 100112120121020 in words is "one hundred trillion, one hundred twelve billion, one hundred twenty million, one hundred twenty-one thousand, twenty".