102200202210313 has 2 divisors, whose sum is σ = 102200202210314. Its totient is φ = 102200202210312.

The previous prime is 102200202210299. The next prime is 102200202210347. The reversal of 102200202210313 is 313012202002201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100470893049289 + 1729309161024 = 10023517^2 + 1315032^2 .

It is a cyclic number.

It is not a de Polignac number, because 102200202210313 - 2⁹ = 102200202209801 is a prime.

It is not a weakly prime, because it can be changed into another prime (102200202210713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100101105156 + 51100101105157.

It is an arithmetic number, because the mean of its divisors is an integer number (51100101105157).

Almost surely, 2^{102200202210313} is an apocalyptic number.

It is an amenable number.

102200202210313 is a deficient number, since it is larger than the sum of its proper divisors (1).

102200202210313 is an equidigital number, since it uses as much as digits as its factorization.

102200202210313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 102200202210313 its reverse (313012202002201), we get a palindrome (415212404212514).

The spelling of 102200202210313 in words is "one hundred two trillion, two hundred billion, two hundred two million, two hundred ten thousand, three hundred thirteen".