101001100010101 has 32 divisors (see below), whose sum is σ = 106176820248576. Its totient is φ = 95975112816000.

The previous prime is 101001100010099. The next prime is 101001100010159. The reversal of 101001100010101 is 101010001100101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101001100010101 - 2¹ = 101001100010099 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 (101001100010201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1276661536 + ... + 1276740646.

It is an arithmetic number, because the mean of its divisors is an integer number (3318025632768).

Almost surely, 2^{101001100010101} is an apocalyptic number.

It is an amenable number.

101001100010101 is a deficient number, since it is larger than the sum of its proper divisors (5175720238475).

101001100010101 is a wasteful number, since it uses less digits than its factorization.

101001100010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82393.

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

Adding to 101001100010101 its reverse (101010001100101), we get a palindrome (202011101110202).

The spelling of 101001100010101 in words is "one hundred one trillion, one billion, one hundred million, ten thousand, one hundred one".