102202000201121 has 2 divisors, whose sum is σ = 102202000201122. Its totient is φ = 102202000201120.

The previous prime is 102202000201069. The next prime is 102202000201129. The reversal of 102202000201121 is 121102000202201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90566151390625 + 11635848810496 = 9516625^2 + 3411136^2 .

It is a cyclic number.

It is not a de Polignac number, because 102202000201121 - 2³⁰ = 102200926459297 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102202000201096 and 102202000201105.

It is not a weakly prime, because it can be changed into another prime (102202000201129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51101000100560 + 51101000100561.

It is an arithmetic number, because the mean of its divisors is an integer number (51101000100561).

Almost surely, 2^{102202000201121} is an apocalyptic number.

It is an amenable number.

102202000201121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102202000201121 is an equidigital number, since it uses as much as digits as its factorization.

102202000201121 is an evil number, because the sum of its binary digits is even.

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

Adding to 102202000201121 its reverse (121102000202201), we get a palindrome (223304000403322).

The spelling of 102202000201121 in words is "one hundred two trillion, two hundred two billion, two hundred one thousand, one hundred twenty-one".