101002002000021 has 24 divisors (see below), whose sum is σ = 147976481278080. Its totient is φ = 66372881652000.

The previous prime is 101002002000013. The next prime is 101002002000101. The reversal of 101002002000021 is 120000200200101.

It is not a de Polignac number, because 101002002000021 - 2³ = 101002002000013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101002001999967 and 101002002000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002002700021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12799006 + ... + 19126383.

It is an arithmetic number, because the mean of its divisors is an integer number (6165686719920).

Almost surely, 2^{101002002000021} is an apocalyptic number.

It is an amenable number.

101002002000021 is a deficient number, since it is larger than the sum of its proper divisors (46974479278059).

101002002000021 is a wasteful number, since it uses less digits than its factorization.

101002002000021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31930417 (or 31930414 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101002002000021 its reverse (120000200200101), we get a palindrome (221002202200122).

The spelling of 101002002000021 in words is "one hundred one trillion, two billion, two million, twenty-one", and thus it is an aban number.