102202000101121 has 2 divisors, whose sum is σ = 102202000101122. Its totient is φ = 102202000101120.

The previous prime is 102202000101067. The next prime is 102202000101137. The reversal of 102202000101121 is 121101000202201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62784007460496 + 39417992640625 = 7923636^2 + 6278375^2 .

It is a cyclic number.

It is not a de Polignac number, because 102202000101121 - 2⁴⁵ = 67017628012289 is a prime.

It is not a weakly prime, because it can be changed into another prime (102202000101151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51101000050560 + 51101000050561.

It is an arithmetic number, because the mean of its divisors is an integer number (51101000050561).

Almost surely, 2^{102202000101121} is an apocalyptic number.

It is an amenable number.

102202000101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102202000101121 is an equidigital number, since it uses as much as digits as its factorization.

102202000101121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102202000101121 its reverse (121101000202201), we get a palindrome (223303000303322).

The spelling of 102202000101121 in words is "one hundred two trillion, two hundred two billion, one hundred one thousand, one hundred twenty-one".