21022100002121 has 2 divisors, whose sum is σ = 21022100002122. Its totient is φ = 21022100002120.

The previous prime is 21022100002093. The next prime is 21022100002199. The reversal of 21022100002121 is 12120000122012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16496099048521 + 4526000953600 = 4061539^2 + 2127440^2 .

It is a cyclic number.

It is not a de Polignac number, because 21022100002121 - 2³⁸ = 20747222095177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21022100002096 and 21022100002105.

It is not a weakly prime, because it can be changed into another prime (21022100002621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10511050001060 + 10511050001061.

It is an arithmetic number, because the mean of its divisors is an integer number (10511050001061).

Almost surely, 2^{21022100002121} is an apocalyptic number.

It is an amenable number.

21022100002121 is a deficient number, since it is larger than the sum of its proper divisors (1).

21022100002121 is an equidigital number, since it uses as much as digits as its factorization.

21022100002121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21022100002121 its reverse (12120000122012), we get a palindrome (33142100124133).

The spelling of 21022100002121 in words is "twenty-one trillion, twenty-two billion, one hundred million, two thousand, one hundred twenty-one".