101100111111101 has 16 divisors (see below), whose sum is σ = 104767038351360. Its totient is φ = 97445245336320.

The previous prime is 101100111111047. The next prime is 101100111111149. The reversal of 101100111111101 is 101111111001101.

It is a cyclic number.

It is not a de Polignac number, because 101100111111101 - 2³⁰ = 101099037369277 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 (101100111011101) 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, 465981836 + ... + 466198746.

It is an arithmetic number, because the mean of its divisors is an integer number (6547939896960).

Almost surely, 2^{101100111111101} is an apocalyptic number.

It is an amenable number.

101100111111101 is a deficient number, since it is larger than the sum of its proper divisors (3666927240259).

101100111111101 is a wasteful number, since it uses less digits than its factorization.

101100111111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244636.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 101100111111101 its reverse (101111111001101), we get a palindrome (202211222112202).

The spelling of 101100111111101 in words is "one hundred one trillion, one hundred billion, one hundred eleven million, one hundred eleven thousand, one hundred one".