100110111011001 has 96 divisors (see below), whose sum is σ = 182802635095808. Its totient is φ = 51372818956800.

The previous prime is 100110111010993. The next prime is 100110111011023.

100110111011001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100110111011001 - 2³ = 100110111010993 is a prime.

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

100110111011001 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 (100110111011501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 299863170 + ... + 300196836.

Almost surely, 2^{100110111011001} is an apocalyptic number.

It is an amenable number.

100110111011001 is a deficient number, since it is larger than the sum of its proper divisors (82692524084807).

100110111011001 is a wasteful number, since it uses less digits than its factorization.

100110111011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343631 (or 343628 counting only the distinct ones).

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

It can be divided in two parts, 100110 and 111011001, that added together give a palindrome (111111111).

The spelling of 100110111011001 in words is "one hundred trillion, one hundred ten billion, one hundred eleven million, eleven thousand, one".