102201300013121 has 2 divisors, whose sum is σ = 102201300013122. Its totient is φ = 102201300013120.

The previous prime is 102201300013093. The next prime is 102201300013123. The reversal of 102201300013121 is 121310003102201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101885303130625 + 315996882496 = 10093825^2 + 562136^2 .

It is a cyclic number.

It is not a de Polignac number, because 102201300013121 - 2³⁸ = 101926422106177 is a prime.

It is a Sophie Germain prime.

Together with 102201300013123, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102201300013121.

It is not a weakly prime, because it can be changed into another prime (102201300013123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100650006560 + 51100650006561.

It is an arithmetic number, because the mean of its divisors is an integer number (51100650006561).

Almost surely, 2^{102201300013121} is an apocalyptic number.

It is an amenable number.

102201300013121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102201300013121 is an equidigital number, since it uses as much as digits as its factorization.

102201300013121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 102201300013121 its reverse (121310003102201), we get a palindrome (223511303115322).

The spelling of 102201300013121 in words is "one hundred two trillion, two hundred one billion, three hundred million, thirteen thousand, one hundred twenty-one".