102221200002121 has 2 divisors, whose sum is σ = 102221200002122. Its totient is φ = 102221200002120.

The previous prime is 102221200002083. The next prime is 102221200002167. The reversal of 102221200002121 is 121200002122201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100828006929225 + 1393193072896 = 10041315^2 + 1180336^2 .

It is a cyclic number.

It is not a de Polignac number, because 102221200002121 - 2³⁷ = 102083761048649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102221200002095 and 102221200002104.

It is not a weakly prime, because it can be changed into another prime (102221200002191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51110600001060 + 51110600001061.

It is an arithmetic number, because the mean of its divisors is an integer number (51110600001061).

Almost surely, 2^{102221200002121} is an apocalyptic number.

It is an amenable number.

102221200002121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102221200002121 is an equidigital number, since it uses as much as digits as its factorization.

102221200002121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102221200002121 its reverse (121200002122201), we get a palindrome (223421202124322).

The spelling of 102221200002121 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred million, two thousand, one hundred twenty-one".