4004213021 has 2 divisors, whose sum is σ = 4004213022. Its totient is φ = 4004213020.

The previous prime is 4004213011. The next prime is 4004213023. The reversal of 4004213021 is 1203124004.

4004213021 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2501100121 + 1503112900 = 50011^2 + 38770^2 .

It is a cyclic number.

It is not a de Polignac number, because 4004213021 - 2¹⁸ = 4003950877 is a prime.

Together with 4004213023, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4004213023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002106510 + 2002106511.

It is an arithmetic number, because the mean of its divisors is an integer number (2002106511).

Almost surely, 2^4004213021 is an apocalyptic number.

It is an amenable number.

4004213021 is a deficient number, since it is larger than the sum of its proper divisors (1).

4004213021 is an equidigital number, since it uses as much as digits as its factorization.

4004213021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4004213021 is about 63278.8512933034. The cubic root of 4004213021 is about 1587.9581692490.

Adding to 4004213021 its reverse (1203124004), we get a palindrome (5207337025).

The spelling of 4004213021 in words is "four billion, four million, two hundred thirteen thousand, twenty-one".