100112010222101 has 16 divisors (see below), whose sum is σ = 103709216643840. Its totient is φ = 96584482948800.

The previous prime is 100112010222097. The next prime is 100112010222143. The reversal of 100112010222101 is 101222010211001.

It is a cyclic number.

It is not a de Polignac number, because 100112010222101 - 2² = 100112010222097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112010222151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45375146 + ... + 47530283.

It is an arithmetic number, because the mean of its divisors is an integer number (6481826040240).

Almost surely, 2^{100112010222101} is an apocalyptic number.

It is an amenable number.

100112010222101 is a deficient number, since it is larger than the sum of its proper divisors (3597206421739).

100112010222101 is a wasteful number, since it uses less digits than its factorization.

100112010222101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92905804.

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

Adding to 100112010222101 its reverse (101222010211001), we get a palindrome (201334020433102).

The spelling of 100112010222101 in words is "one hundred trillion, one hundred twelve billion, ten million, two hundred twenty-two thousand, one hundred one".