101100100111113 has 4 divisors (see below), whose sum is σ = 134800133481488. Its totient is φ = 67400066740740.

The previous prime is 101100100111079. The next prime is 101100100111139. The reversal of 101100100111113 is 311111001001101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 101100100111113 - 2³³ = 101091510176521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101100100121113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16850016685183 + ... + 16850016685188.

It is an arithmetic number, because the mean of its divisors is an integer number (33700033370372).

Almost surely, 2^{101100100111113} is an apocalyptic number.

It is an amenable number.

101100100111113 is a deficient number, since it is larger than the sum of its proper divisors (33700033370375).

101100100111113 is an equidigital number, since it uses as much as digits as its factorization.

101100100111113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33700033370374.

The product of its (nonzero) digits is 3, while the sum is 12.

Adding to 101100100111113 its reverse (311111001001101), we get a palindrome (412211101112214).

The spelling of 101100100111113 in words is "one hundred one trillion, one hundred billion, one hundred million, one hundred eleven thousand, one hundred thirteen".