101100011100101 has 4 divisors (see below), whose sum is σ = 108876935030892. Its totient is φ = 93323087169312.

The previous prime is 101100011100083. The next prime is 101100011100173. The reversal of 101100011100101 is 101001110001101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 60000500508001 + 41099510592100 = 7745999^2 + 6410890^2 .

It is not a de Polignac number, because 101100011100101 - 2²⁶ = 101099943991237 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 (101100011100401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3888461965376 + ... + 3888461965401.

It is an arithmetic number, because the mean of its divisors is an integer number (27219233757723).

Almost surely, 2^{101100011100101} is an apocalyptic number.

It is an amenable number.

101100011100101 is a deficient number, since it is larger than the sum of its proper divisors (7776923930791).

101100011100101 is an equidigital number, since it uses as much as digits as its factorization.

101100011100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7776923930790.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101100011100101 its reverse (101001110001101), we get a palindrome (202101121101202).

The spelling of 101100011100101 in words is "one hundred one trillion, one hundred billion, eleven million, one hundred thousand, one hundred one".