100112012220121 has 32 divisors (see below), whose sum is σ = 110903028940800. Its totient is φ = 89611955959680.

The previous prime is 100112012220097. The next prime is 100112012220149. The reversal of 100112012220121 is 121022210211001.

It is not a de Polignac number, because 100112012220121 - 2⁵ = 100112012220089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100112012220095 and 100112012220104.

It is not an unprimeable number, because it can be changed into a prime (100112012220161) 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, 239855016 + ... + 240272038.

It is an arithmetic number, because the mean of its divisors is an integer number (3465719654400).

Almost surely, 2^{100112012220121} is an apocalyptic number.

100112012220121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100112012220121 is a deficient number, since it is larger than the sum of its proper divisors (10791016720679).

100112012220121 is a wasteful number, since it uses less digits than its factorization.

100112012220121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418149.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100112012220121 its reverse (121022210211001), we get a palindrome (221134222431122).

The spelling of 100112012220121 in words is "one hundred trillion, one hundred twelve billion, twelve million, two hundred twenty thousand, one hundred twenty-one".