100112212222101 has 12 divisors (see below), whose sum is σ = 146038276576140. Its totient is φ = 66080668132800.

The previous prime is 100112212222093. The next prime is 100112212222123. The reversal of 100112212222101 is 101222212211001.

100112212222101 is a `hidden beast` number, since 1 + 0 + 0 + 11 + 221 + 222 + 210 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48386283800625 + 51725928421476 = 6956025^2 + 7192074^2 .

It is not a de Polignac number, because 100112212222101 - 2³ = 100112212222093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112212272101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55067222536 + ... + 55067224353.

It is an arithmetic number, because the mean of its divisors is an integer number (12169856381345).

Almost surely, 2^{100112212222101} is an apocalyptic number.

It is an amenable number.

100112212222101 is a deficient number, since it is larger than the sum of its proper divisors (45926064354039).

100112212222101 is a wasteful number, since it uses less digits than its factorization.

100112212222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110134446996 (or 110134446993 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100112212222101 its reverse (101222212211001), we get a palindrome (201334424433102).

The spelling of 100112212222101 in words is "one hundred trillion, one hundred twelve billion, two hundred twelve million, two hundred twenty-two thousand, one hundred one".