102817201 has 2 divisors, whose sum is σ = 102817202. Its totient is φ = 102817200.

The previous prime is 102817133. The next prime is 102817213. The reversal of 102817201 is 102718201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86936976 + 15880225 = 9324^2 + 3985^2 .

It is an emirp because it is prime and its reverse (102718201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102817201 - 2⁹ = 102816689 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (102817271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51408600 + 51408601.

It is an arithmetic number, because the mean of its divisors is an integer number (51408601).

Almost surely, 2^102817201 is an apocalyptic number.

It is an amenable number.

102817201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102817201 is an equidigital number, since it uses as much as digits as its factorization.

102817201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 22.

The square root of 102817201 is about 10139.8817054244. The cubic root of 102817201 is about 468.4773433968.

The spelling of 102817201 in words is "one hundred two million, eight hundred seventeen thousand, two hundred one".