100112222211001 has 48 divisors (see below), whose sum is σ = 136775655684864. Its totient is φ = 71295832080000.

The previous prime is 100112222210971. The next prime is 100112222211059.

100112222211001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100112222211001 - 2⁵ = 100112222210969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100112222211061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43897885 + ... + 46122106.

It is an arithmetic number, because the mean of its divisors is an integer number (2849492826768).

Almost surely, 2^{100112222211001} is an apocalyptic number.

100112222211001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100112222211001 is a deficient number, since it is larger than the sum of its proper divisors (36663433473863).

100112222211001 is a wasteful number, since it uses less digits than its factorization.

100112222211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90020134 (or 90020123 counting only the distinct ones).

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

The spelling of 100112222211001 in words is "one hundred trillion, one hundred twelve billion, two hundred twenty-two million, two hundred eleven thousand, one".