101111101111101 has 32 divisors (see below), whose sum is σ = 136229847724800. Its totient is φ = 66700677312000.

The previous prime is 101111101111067. The next prime is 101111101111151.

101111101111101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101111101111101 - 2²⁷ = 101110966893373 is a prime.

101111101111101 is a strobogrammatic number because it is the same when read upside-down.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111101111151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4026553536 + ... + 4026578646.

It is an arithmetic number, because the mean of its divisors is an integer number (4257182741400).

Almost surely, 2^{101111101111101} is an apocalyptic number.

It is an amenable number.

101111101111101 is a deficient number, since it is larger than the sum of its proper divisors (35118746613699).

101111101111101 is a wasteful number, since it uses less digits than its factorization.

101111101111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32517.

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

It can be divided in two parts, 10111110 and 1111101, that added together give a palindrome (11222211).

The spelling of 101111101111101 in words is "one hundred one trillion, one hundred eleven billion, one hundred one million, one hundred eleven thousand, one hundred one".