101000100010101 has 16 divisors (see below), whose sum is σ = 137507985416064. Its totient is φ = 65926272639744.

The previous prime is 101000100010079. The next prime is 101000100010151. The reversal of 101000100010101 is 101010001000101.

It is not a de Polignac number, because 101000100010101 - 2¹⁰ = 101000100009077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101000100010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000100010151) 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, 1683136681 + ... + 1683196686.

It is an arithmetic number, because the mean of its divisors is an integer number (8594249088504).

Almost surely, 2^{101000100010101} is an apocalyptic number.

It is an amenable number.

101000100010101 is a deficient number, since it is larger than the sum of its proper divisors (36507885405963).

101000100010101 is a wasteful number, since it uses less digits than its factorization.

101000100010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3366333580.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101000100010101 its reverse (101010001000101), we get a palindrome (202010101010202).

The spelling of 101000100010101 in words is "one hundred one trillion, one hundred million, ten thousand, one hundred one".