101111110000111 has 16 divisors (see below), whose sum is σ = 106429513402368. Its totient is φ = 95940065556000.

The previous prime is 101111110000097. The next prime is 101111110000163. The reversal of 101111110000111 is 111000011111101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101111110000111 - 2⁵ = 101111110000079 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111110000171) 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, 156442321 + ... + 157087306.

It is an arithmetic number, because the mean of its divisors is an integer number (6651844587648).

Almost surely, 2^{101111110000111} is an apocalyptic number.

101111110000111 is a deficient number, since it is larger than the sum of its proper divisors (5318403402257).

101111110000111 is a wasteful number, since it uses less digits than its factorization.

101111110000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313529862.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 101111110000111 its reverse (111000011111101), we get a palindrome (212111121111212).

The spelling of 101111110000111 in words is "one hundred one trillion, one hundred eleven billion, one hundred ten million, one hundred eleven", and thus it is an aban number.