101100100111109 has 16 divisors (see below), whose sum is σ = 113973311162304. Its totient is φ = 88882929744000.

The previous prime is 101100100111079. The next prime is 101100100111139. The reversal of 101100100111109 is 901111001001101.

It is an interprime number because it is at equal distance from previous prime (101100100111079) and next prime (101100100111139).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101100100111109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100100111139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1058082344 + ... + 1058177889.

It is an arithmetic number, because the mean of its divisors is an integer number (7123331947644).

Almost surely, 2^{101100100111109} is an apocalyptic number.

It is an amenable number.

101100100111109 is a deficient number, since it is larger than the sum of its proper divisors (12873211051195).

101100100111109 is a wasteful number, since it uses less digits than its factorization.

101100100111109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116260388.

The product of its (nonzero) digits is 9, while the sum is 17.

The spelling of 101100100111109 in words is "one hundred one trillion, one hundred billion, one hundred million, one hundred eleven thousand, one hundred nine".