100112210121 has 48 divisors (see below), whose sum is σ = 169453010880. Its totient is φ = 51987640320.

The previous prime is 100112210063. The next prime is 100112210173. The reversal of 100112210121 is 121012211001.

It is not a de Polignac number, because 100112210121 - 2⁶ = 100112210057 is a prime.

It is a super-2 number, since 2×100112210121² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100112210097 and 100112210106.

It is not an unprimeable number, because it can be changed into a prime (100112200121) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5257065 + ... + 5276073.

It is an arithmetic number, because the mean of its divisors is an integer number (3530271060).

Almost surely, 2^100112210121 is an apocalyptic number.

100112210121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100112210121 is a deficient number, since it is larger than the sum of its proper divisors (69340800759).

100112210121 is a wasteful number, since it uses less digits than its factorization.

100112210121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22294 (or 22287 counting only the distinct ones).

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

Adding to 100112210121 its reverse (121012211001), we get a palindrome (221124421122).

The spelling of 100112210121 in words is "one hundred billion, one hundred twelve million, two hundred ten thousand, one hundred twenty-one".