100111010111001 has 24 divisors (see below), whose sum is σ = 148514277899520. Its totient is φ = 64936325789856.

The previous prime is 100111010110973. The next prime is 100111010111009.

100111010111001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100111010111001 - 2³⁷ = 99973571157529 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

100111010111001 is a strobogrammatic number because it is the same when read upside-down.

It is not an unprimeable number, because it can be changed into a prime (100111010111009) 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, 40497496 + ... + 42898358.

It is an arithmetic number, because the mean of its divisors is an integer number (6188094912480).

Almost surely, 2^{100111010111001} is an apocalyptic number.

It is an amenable number.

100111010111001 is a deficient number, since it is larger than the sum of its proper divisors (48403267788519).

100111010111001 is a wasteful number, since it uses less digits than its factorization.

100111010111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2526125 (or 2526122 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

The spelling of 100111010111001 in words is "one hundred trillion, one hundred eleven billion, ten million, one hundred eleven thousand, one".