102202120222217 has 2 divisors, whose sum is σ = 102202120222218. Its totient is φ = 102202120222216.

The previous prime is 102202120222129. The next prime is 102202120222249. The reversal of 102202120222217 is 712222021202201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82704764654656 + 19497355567561 = 9094216^2 + 4415581^2 .

It is a cyclic number.

It is not a de Polignac number, because 102202120222217 - 2⁸ = 102202120221961 is a prime.

It is not a weakly prime, because it can be changed into another prime (102202120212217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51101060111108 + 51101060111109.

It is an arithmetic number, because the mean of its divisors is an integer number (51101060111109).

Almost surely, 2^{102202120222217} is an apocalyptic number.

It is an amenable number.

102202120222217 is a deficient number, since it is larger than the sum of its proper divisors (1).

102202120222217 is an equidigital number, since it uses as much as digits as its factorization.

102202120222217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1792, while the sum is 26.

Adding to 102202120222217 its reverse (712222021202201), we get a palindrome (814424141424418).

The spelling of 102202120222217 in words is "one hundred two trillion, two hundred two billion, one hundred twenty million, two hundred twenty-two thousand, two hundred seventeen".