100111102107 has 16 divisors (see below), whose sum is σ = 136609901568. Its totient is φ = 65187813600.

The previous prime is 100111102097. The next prime is 100111102177. The reversal of 100111102107 is 701201111001.

It is a de Polignac number, because none of the positive numbers 2^k-100111102107 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100111102177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1376269 + ... + 1447182.

It is an arithmetic number, because the mean of its divisors is an integer number (8538118848).

Almost surely, 2^100111102107 is an apocalyptic number.

100111102107 is a deficient number, since it is larger than the sum of its proper divisors (36498799461).

100111102107 is a wasteful number, since it uses less digits than its factorization.

100111102107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823730.

The product of its (nonzero) digits is 14, while the sum is 15.

Adding to 100111102107 its reverse (701201111001), we get a palindrome (801312213108).

The spelling of 100111102107 in words is "one hundred billion, one hundred eleven million, one hundred two thousand, one hundred seven".