100112040211001 has 24 divisors (see below), whose sum is σ = 125574442398720. Its totient is φ = 79108878496032.

The previous prime is 100112040210953. The next prime is 100112040211019.

100112040211001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100112040211001 - 2²⁶ = 100111973102137 is a prime.

It is a super-2 number, since 2×100112040211001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100112040211091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99347321 + ... + 100349958.

It is an arithmetic number, because the mean of its divisors is an integer number (5232268433280).

Almost surely, 2^{100112040211001} is an apocalyptic number.

It is an amenable number.

100112040211001 is a deficient number, since it is larger than the sum of its proper divisors (25462402187719).

100112040211001 is a wasteful number, since it uses less digits than its factorization.

100112040211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199698093 (or 199698086 counting only the distinct ones).

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

The spelling of 100112040211001 in words is "one hundred trillion, one hundred twelve billion, forty million, two hundred eleven thousand, one".