100112012121 has 24 divisors (see below), whose sum is σ = 151779983040. Its totient is φ = 58581735520.

The previous prime is 100112012093. The next prime is 100112012131. The reversal of 100112012121 is 121210211001.

It is not a de Polignac number, because 100112012121 - 2⁹ = 100112011609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100112012097 and 100112012106.

It is not an unprimeable number, because it can be changed into a prime (100112012131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4744485 + ... + 4765538.

It is an arithmetic number, because the mean of its divisors is an integer number (6324165960).

Almost surely, 2^100112012121 is an apocalyptic number.

100112012121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100112012121 is a deficient number, since it is larger than the sum of its proper divisors (51667970919).

100112012121 is a wasteful number, since it uses less digits than its factorization.

100112012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9510077 (or 9510066 counting only the distinct ones).

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

Adding to 100112012121 its reverse (121210211001), we get a palindrome (221322223122).

The spelling of 100112012121 in words is "one hundred billion, one hundred twelve million, twelve thousand, one hundred twenty-one".