100111012113 has 64 divisors (see below), whose sum is σ = 158256156672. Its totient is φ = 55109134080.

The previous prime is 100111012109. The next prime is 100111012121. The reversal of 100111012113 is 311210111001.

It is not a de Polignac number, because 100111012113 - 2² = 100111012109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100111011113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56146620 + ... + 56148402.

It is an arithmetic number, because the mean of its divisors is an integer number (2472752448).

Almost surely, 2^100111012113 is an apocalyptic number.

It is an amenable number.

100111012113 is a deficient number, since it is larger than the sum of its proper divisors (58145144559).

100111012113 is a wasteful number, since it uses less digits than its factorization.

100111012113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 100111012113 its reverse (311210111001), we get a palindrome (411321123114).

The spelling of 100111012113 in words is "one hundred billion, one hundred eleven million, twelve thousand, one hundred thirteen".