101100110100111 has 12 divisors (see below), whose sum is σ = 146271719931688. Its totient is φ = 67290122216304.

The previous prime is 101100110100109. The next prime is 101100110100139. The reversal of 101100110100111 is 111001011001101.

It is not a de Polignac number, because 101100110100111 - 2¹ = 101100110100109 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101100110100093 and 101100110100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100110100151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9162592825 + ... + 9162603858.

Almost surely, 2^{101100110100111} is an apocalyptic number.

101100110100111 is a deficient number, since it is larger than the sum of its proper divisors (45171609831577).

101100110100111 is a wasteful number, since it uses less digits than its factorization.

101100110100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18325197302 (or 18325197299 counting only the distinct ones).

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

Adding to 101100110100111 its reverse (111001011001101), we get a palindrome (212101121101212).

The spelling of 101100110100111 in words is "one hundred one trillion, one hundred billion, one hundred ten million, one hundred thousand, one hundred eleven".