2004200200021 has 6 divisors (see below), whose sum is σ = 2129029278530. Its totient is φ = 1886306070336.

The previous prime is 2004200199997. The next prime is 2004200200061. The reversal of 2004200200021 is 1200020024002.

It can be written as a sum of positive squares in 3 ways, for example, as 229872302500 + 1774327897521 = 479450^2 + 1332039^2 .

It is not a de Polignac number, because 2004200200021 - 2²⁷ = 2004065982293 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2004200199974 and 2004200200010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004200200061) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3467474106 + ... + 3467474683.

Almost surely, 2^{2004200200021} is an apocalyptic number.

It is an amenable number.

2004200200021 is a deficient number, since it is larger than the sum of its proper divisors (124829078509).

2004200200021 is an equidigital number, since it uses as much as digits as its factorization.

2004200200021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6934948823 (or 6934948806 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 2004200200021 its reverse (1200020024002), we get a palindrome (3204220224023).

The spelling of 2004200200021 in words is "two trillion, four billion, two hundred million, two hundred thousand, twenty-one".