100110111110009 has 36 divisors (see below), whose sum is σ = 137565542581200. Its totient is φ = 72007272660960.

The previous prime is 100110111109963. The next prime is 100110111110047. The reversal of 100110111110009 is 900011111011001.

It is a de Polignac number, because none of the positive numbers 2^k-100110111110009 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100110111110089) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 549414959 + ... + 549597140.

It is an arithmetic number, because the mean of its divisors is an integer number (3821265071700).

Almost surely, 2^{100110111110009} is an apocalyptic number.

It is an amenable number.

100110111110009 is a deficient number, since it is larger than the sum of its proper divisors (37455431471191).

100110111110009 is a wasteful number, since it uses less digits than its factorization.

100110111110009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099012150 (or 1099012130 counting only the distinct ones).

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

The spelling of 100110111110009 in words is "one hundred trillion, one hundred ten billion, one hundred eleven million, one hundred ten thousand, nine".