102122202101221 has 2 divisors, whose sum is σ = 102122202101222. Its totient is φ = 102122202101220.

The previous prime is 102122202101159. The next prime is 102122202101239. The reversal of 102122202101221 is 122101202221201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81615161560321 + 20507040540900 = 9034111^2 + 4528470^2 .

It is a cyclic number.

It is not a de Polignac number, because 102122202101221 - 2⁷ = 102122202101093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102122202101251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51061101050610 + 51061101050611.

It is an arithmetic number, because the mean of its divisors is an integer number (51061101050611).

Almost surely, 2^{102122202101221} is an apocalyptic number.

It is an amenable number.

102122202101221 is a deficient number, since it is larger than the sum of its proper divisors (1).

102122202101221 is an equidigital number, since it uses as much as digits as its factorization.

102122202101221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 102122202101221 its reverse (122101202221201), we get a palindrome (224223404322422).

The spelling of 102122202101221 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred two million, one hundred one thousand, two hundred twenty-one".