101100010100101 has 32 divisors (see below), whose sum is σ = 110128483422720. Its totient is φ = 92443897921536.

The previous prime is 101100010100083. The next prime is 101100010100119. The reversal of 101100010100101 is 101001010001101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101100010100083) and next prime (101100010100119).

It is not a de Polignac number, because 101100010100101 - 2⁹ = 101100010099589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100010100501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 741041845 + ... + 741178261.

It is an arithmetic number, because the mean of its divisors is an integer number (3441515106960).

Almost surely, 2^{101100010100101} is an apocalyptic number.

It is an amenable number.

101100010100101 is a deficient number, since it is larger than the sum of its proper divisors (9028473322619).

101100010100101 is a wasteful number, since it uses less digits than its factorization.

101100010100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143293.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101100010100101 its reverse (101001010001101), we get a palindrome (202101020101202).

The spelling of 101100010100101 in words is "one hundred one trillion, one hundred billion, ten million, one hundred thousand, one hundred one".