101002000021 has 8 divisors (see below), whose sum is σ = 108787624344. Its totient is φ = 93218695680.

The previous prime is 101002000019. The next prime is 101002000031. The reversal of 101002000021 is 120000200101.

It can be written as a sum of positive squares in 4 ways, for example, as 4381116100 + 96620883921 = 66190^2 + 310839^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101002000021 - 2¹ = 101002000019 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101001999968 and 101002000013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002000031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 489040 + ... + 664201.

It is an arithmetic number, because the mean of its divisors is an integer number (13598453043).

Almost surely, 2^101002000021 is an apocalyptic number.

It is an amenable number.

101002000021 is a deficient number, since it is larger than the sum of its proper divisors (7785624323).

101002000021 is a wasteful number, since it uses less digits than its factorization.

101002000021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159991.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 101002000021 its reverse (120000200101), we get a palindrome (221002200122).

The spelling of 101002000021 in words is "one hundred one billion, two million, twenty-one", and thus it is an aban number.