101110111101111 has 64 divisors (see below), whose sum is σ = 165969545564160. Its totient is φ = 53434677941760.

The previous prime is 101110111101089. The next prime is 101110111101113. The reversal of 101110111101111 is 111101111011101.

It is not a de Polignac number, because 101110111101111 - 2²³ = 101110102712503 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110111101113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49787380 + ... + 51778406.

It is an arithmetic number, because the mean of its divisors is an integer number (2593274149440).

Almost surely, 2^{101110111101111} is an apocalyptic number.

101110111101111 is a deficient number, since it is larger than the sum of its proper divisors (64859434463049).

101110111101111 is a wasteful number, since it uses less digits than its factorization.

101110111101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993524.

The product of its (nonzero) digits is 1, while the sum is 12.

Adding to 101110111101111 its reverse (111101111011101), we get a palindrome (212211222112212).

The spelling of 101110111101111 in words is "one hundred one trillion, one hundred ten billion, one hundred eleven million, one hundred one thousand, one hundred eleven".