100111020111001 has 32 divisors (see below), whose sum is σ = 103184832199680. Its totient is φ = 97097198294016.

The previous prime is 100111020110993. The next prime is 100111020111013.

100111020111001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 100111020111001 - 2³ = 100111020110993 is a prime.

It is a super-2 number, since 2×100111020111001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111020181001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6591881530 + ... + 6591896716.

It is an arithmetic number, because the mean of its divisors is an integer number (3224526006240).

Almost surely, 2^{100111020111001} is an apocalyptic number.

It is an amenable number.

100111020111001 is a deficient number, since it is larger than the sum of its proper divisors (3073812088679).

100111020111001 is a wasteful number, since it uses less digits than its factorization.

100111020111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21553.

The product of its (nonzero) digits is 2, while the sum is 10.

The spelling of 100111020111001 in words is "one hundred trillion, one hundred eleven billion, twenty million, one hundred eleven thousand, one".