100110111000109 has 16 divisors (see below), whose sum is σ = 114863348274048. Its totient is φ = 85469860380672.

The previous prime is 100110110999999. The next prime is 100110111000131. The reversal of 100110111000109 is 901000111011001.

It is a cyclic number.

It is not a de Polignac number, because 100110111000109 - 2⁷ = 100110110999981 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100110111000092 and 100110111000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110111003109) 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, 29830197 + ... + 33016069.

It is an arithmetic number, because the mean of its divisors is an integer number (7178959267128).

Almost surely, 2^{100110111000109} is an apocalyptic number.

It is an amenable number.

100110111000109 is a deficient number, since it is larger than the sum of its proper divisors (14753237273939).

100110111000109 is a wasteful number, since it uses less digits than its factorization.

100110111000109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3203604.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 100110111000109 in words is "one hundred trillion, one hundred ten billion, one hundred eleven million, one hundred nine", and thus it is an aban number.