100111110100983 has 64 divisors (see below), whose sum is σ = 151363192780800. Its totient is φ = 65379375452160.

The previous prime is 100111110100961. The next prime is 100111110100997. The reversal of 100111110100983 is 389001011111001.

It is not a de Polignac number, because 100111110100983 - 2⁵ = 100111110100951 is a prime.

It is a super-2 number, since 2×100111110100983² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111110100913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 952742338 + ... + 952847408.

It is an arithmetic number, because the mean of its divisors is an integer number (2365049887200).

Almost surely, 2^{100111110100983} is an apocalyptic number.

100111110100983 is a deficient number, since it is larger than the sum of its proper divisors (51252082679817).

100111110100983 is a wasteful number, since it uses less digits than its factorization.

100111110100983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108069 (or 108063 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 27.

Adding to 100111110100983 its reverse (389001011111001), we get a palindrome (489112121211984).

The spelling of 100111110100983 in words is "one hundred trillion, one hundred eleven billion, one hundred ten million, one hundred thousand, nine hundred eighty-three".