101100110110111 has 32 divisors (see below), whose sum is σ = 118164805849728. Its totient is φ = 84713878978560.

The previous prime is 101100110110073. The next prime is 101100110110147. The reversal of 101100110110111 is 111011011001101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101100110110111 - 2²⁵ = 101100076555679 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 (101100110110711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43748011 + ... + 46000963.

It is an arithmetic number, because the mean of its divisors is an integer number (3692650182804).

Almost surely, 2^{101100110110111} is an apocalyptic number.

101100110110111 is a deficient number, since it is larger than the sum of its proper divisors (17064695739617).

101100110110111 is a wasteful number, since it uses less digits than its factorization.

101100110110111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253811.

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

Adding to 101100110110111 its reverse (111011011001101), we get a palindrome (212111121111212).

The spelling of 101100110110111 in words is "one hundred one trillion, one hundred billion, one hundred ten million, one hundred ten thousand, one hundred eleven".