101010000021 has 64 divisors (see below), whose sum is σ = 162437529600. Its totient is φ = 54608875776.

The previous prime is 101010000011. The next prime is 101010000031. The reversal of 101010000021 is 120000010101.

It is an interprime number because it is at equal distance from previous prime (101010000011) and next prime (101010000031).

It is not a de Polignac number, because 101010000021 - 2¹⁸ = 101009737877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101009999964 and 101010000009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010000001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35083660 + ... + 35086538.

It is an arithmetic number, because the mean of its divisors is an integer number (2538086400).

Almost surely, 2^101010000021 is an apocalyptic number.

It is an amenable number.

101010000021 is a deficient number, since it is larger than the sum of its proper divisors (61427529579).

101010000021 is a wasteful number, since it uses less digits than its factorization.

101010000021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 101010000021 its reverse (120000010101), we get a palindrome (221010010122).

The spelling of 101010000021 in words is "one hundred one billion, ten million, twenty-one", and thus it is an aban number.