100112221012095 has 32 divisors (see below), whose sum is σ = 178003882909440. Its totient is φ = 53385204206880.

The previous prime is 100112221012079. The next prime is 100112221012123. The reversal of 100112221012095 is 590210122211001.

It is not a de Polignac number, because 100112221012095 - 2⁴ = 100112221012079 is a prime.

It is a super-2 number, since 2×100112221012095² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54512349 + ... + 56318918.

It is an arithmetic number, because the mean of its divisors is an integer number (5562621340920).

Almost surely, 2^{100112221012095} is an apocalyptic number.

100112221012095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100112221012095 is a deficient number, since it is larger than the sum of its proper divisors (77891661897345).

100112221012095 is a wasteful number, since it uses less digits than its factorization.

100112221012095 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110837972 (or 110837966 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

Adding to 100112221012095 its reverse (590210122211001), we get a palindrome (690322343223096).

The spelling of 100112221012095 in words is "one hundred trillion, one hundred twelve billion, two hundred twenty-one million, twelve thousand, ninety-five".