101111111000109 has 80 divisors (see below), whose sum is σ = 178232013414400. Its totient is φ = 55900297717920.

The previous prime is 101111111000093. The next prime is 101111111000117. The reversal of 101111111000109 is 901000111111101.

It is not a de Polignac number, because 101111111000109 - 2⁴ = 101111111000093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101111111000091 and 101111111000100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111111010109) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71346432 + ... + 72749814.

It is an arithmetic number, because the mean of its divisors is an integer number (2227900167680).

Almost surely, 2^{101111111000109} is an apocalyptic number.

It is an amenable number.

101111111000109 is a deficient number, since it is larger than the sum of its proper divisors (77120902414291).

101111111000109 is a wasteful number, since it uses less digits than its factorization.

101111111000109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407532 (or 1407523 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 18.

The spelling of 101111111000109 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven million, one hundred nine", and thus it is an aban number.