101100101110101 has 16 divisors (see below), whose sum is σ = 151627037790720. Its totient is φ = 67400067405276.

The previous prime is 101100101110081. The next prime is 101100101110139. The reversal of 101100101110101 is 101011101001101.

It is not a de Polignac number, because 101100101110101 - 2⁶ = 101100101110037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100101130101) 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, 23113875525 + ... + 23113879898.

It is an arithmetic number, because the mean of its divisors is an integer number (9476689861920).

Almost surely, 2^{101100101110101} is an apocalyptic number.

It is an amenable number.

101100101110101 is a deficient number, since it is larger than the sum of its proper divisors (50526936680619).

101100101110101 is an frugal number, since it uses more digits than its factorization.

101100101110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46227755444 (or 46227755426 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101100101110101 its reverse (101011101001101), we get a palindrome (202111202111202).

The spelling of 101100101110101 in words is "one hundred one trillion, one hundred billion, one hundred one million, one hundred ten thousand, one hundred one".