21164002021 has 2 divisors, whose sum is σ = 21164002022. Its totient is φ = 21164002020.

The previous prime is 21164002019. The next prime is 21164002039. The reversal of 21164002021 is 12020046112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20121422500 + 1042579521 = 141850^2 + 32289^2 .

It is a cyclic number.

It is not a de Polignac number, because 21164002021 - 2¹ = 21164002019 is a prime.

Together with 21164002019, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 21164002021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21164002001) 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, 10582001010 + 10582001011.

It is an arithmetic number, because the mean of its divisors is an integer number (10582001011).

Almost surely, 2^21164002021 is an apocalyptic number.

It is an amenable number.

21164002021 is a deficient number, since it is larger than the sum of its proper divisors (1).

21164002021 is an equidigital number, since it uses as much as digits as its factorization.

21164002021 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 19.

Adding to 21164002021 its reverse (12020046112), we get a palindrome (33184048133).

The spelling of 21164002021 in words is "twenty-one billion, one hundred sixty-four million, two thousand, twenty-one".