100111000111001 has 24 divisors (see below), whose sum is σ = 111131943125952. Its totient is φ = 90106413012000.

The previous prime is 100111000110983. The next prime is 100111000111049.

100111000111001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100111000111001 - 2¹⁴ = 100111000094617 is a prime.

100111000111001 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100111000111001.

It is not an unprimeable number, because it can be changed into a prime (100111000111051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 549646190 + ... + 549828296.

It is an arithmetic number, because the mean of its divisors is an integer number (4630497630248).

Almost surely, 2^{100111000111001} is an apocalyptic number.

100111000111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111000111001 is a deficient number, since it is larger than the sum of its proper divisors (11020943014951).

100111000111001 is a wasteful number, since it uses less digits than its factorization.

100111000111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227213 (or 227202 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

It can be divided in two parts, 100111000 and 111001, that added together give a palindrome (100222001).

The spelling of 100111000111001 in words is "one hundred trillion, one hundred eleven billion, one hundred eleven thousand, one".