102201200001917 has 2 divisors, whose sum is σ = 102201200001918. Its totient is φ = 102201200001916.

The previous prime is 102201200001913. The next prime is 102201200001947. The reversal of 102201200001917 is 719100002102201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95001455303161 + 7199744698756 = 9746869^2 + 2683234^2 .

It is a cyclic number.

It is not a de Polignac number, because 102201200001917 - 2² = 102201200001913 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102201200001913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100600000958 + 51100600000959.

It is an arithmetic number, because the mean of its divisors is an integer number (51100600000959).

Almost surely, 2^{102201200001917} is an apocalyptic number.

It is an amenable number.

102201200001917 is a deficient number, since it is larger than the sum of its proper divisors (1).

102201200001917 is an equidigital number, since it uses as much as digits as its factorization.

102201200001917 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 26.

The spelling of 102201200001917 in words is "one hundred two trillion, two hundred one billion, two hundred million, one thousand, nine hundred seventeen".