10100000010101 has 16 divisors (see below), whose sum is σ = 10995374170368. Its totient is φ = 9239809881600.

The previous prime is 10100000010031. The next prime is 10100000010127. The reversal of 10100000010101 is 10101000000101.

It is a cyclic number.

It is not a de Polignac number, because 10100000010101 - 2²² = 10099995815797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100000010301) 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, 26546675 + ... + 26924448.

It is an arithmetic number, because the mean of its divisors is an integer number (687210885648).

Almost surely, 2^{10100000010101} is an apocalyptic number.

It is an amenable number.

10100000010101 is a deficient number, since it is larger than the sum of its proper divisors (895374160267).

10100000010101 is a wasteful number, since it uses less digits than its factorization.

10100000010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53471452.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10100000010101 its reverse (10101000000101), we get a palindrome (20201000010202).

It can be divided in two parts, 101000000 and 10101, that added together give a palindrome (101010101).

The spelling of 10100000010101 in words is "ten trillion, one hundred billion, ten thousand, one hundred one".