100100100111111 has 48 divisors (see below), whose sum is σ = 145468840229856. Its totient is φ = 66328466899968.

The previous prime is 100100100111019. The next prime is 100100100111113. The reversal of 100100100111111 is 111111001001001.

It is not a de Polignac number, because 100100100111111 - 2²⁷ = 100099965893383 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 100100100111093 and 100100100111102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100100111113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2720610531 + ... + 2720647323.

It is an arithmetic number, because the mean of its divisors is an integer number (3030600838122).

Almost surely, 2^{100100100111111} is an apocalyptic number.

100100100111111 is a deficient number, since it is larger than the sum of its proper divisors (45368740118745).

100100100111111 is a wasteful number, since it uses less digits than its factorization.

100100100111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39312 (or 39309 counting only the distinct ones).

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

Adding to 100100100111111 its reverse (111111001001001), we get a palindrome (211211101112112).

It can be divided in two parts, 1001001001 and 11111, that multiplied together give a palindrome (11122122122111).

The spelling of 100100100111111 in words is "one hundred trillion, one hundred billion, one hundred million, one hundred eleven thousand, one hundred eleven".