100110111000111 has 16 divisors (see below), whose sum is σ = 148312722818400. Its totient is φ = 66739422731904.

The previous prime is 100110110999999. The next prime is 100110111000131. The reversal of 100110111000111 is 111000111011001.

It is a de Polignac number, because none of the positive numbers 2^k-100110111000111 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100110111000093 and 100110111000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110111000131) 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, 15264636 + ... + 20814161.

It is an arithmetic number, because the mean of its divisors is an integer number (9269545176150).

Almost surely, 2^{100110111000111} is an apocalyptic number.

100110111000111 is a deficient number, since it is larger than the sum of its proper divisors (48202611818289).

100110111000111 is a wasteful number, since it uses less digits than its factorization.

100110111000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36181575 (or 36181569 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100110111000111 its reverse (111000111011001), we get a palindrome (211110222011112).

The spelling of 100110111000111 in words is "one hundred trillion, one hundred ten billion, one hundred eleven million, one hundred eleven", and thus it is an aban number.