102202012120121 has 2 divisors, whose sum is σ = 102202012120122. Its totient is φ = 102202012120120.

The previous prime is 102202012120093. The next prime is 102202012120141. The reversal of 102202012120121 is 121021210202201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57442165641721 + 44759846478400 = 7579061^2 + 6690280^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102202012120121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102202012120121.

It is not a weakly prime, because it can be changed into another prime (102202012120141) 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, 51101006060060 + 51101006060061.

It is an arithmetic number, because the mean of its divisors is an integer number (51101006060061).

Almost surely, 2^{102202012120121} is an apocalyptic number.

It is an amenable number.

102202012120121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102202012120121 is an equidigital number, since it uses as much as digits as its factorization.

102202012120121 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 17.

Adding to 102202012120121 its reverse (121021210202201), we get a palindrome (223223222322322).

The spelling of 102202012120121 in words is "one hundred two trillion, two hundred two billion, twelve million, one hundred twenty thousand, one hundred twenty-one".