10202117 has 2 divisors, whose sum is σ = 10202118. Its totient is φ = 10202116.

The previous prime is 10202099. The next prime is 10202119. The reversal of 10202117 is 71120201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8579041 + 1623076 = 2929^2 + 1274^2 .

It is a cyclic number.

It is not a de Polignac number, because 10202117 - 2⁸ = 10201861 is a prime.

Together with 10202119, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10202119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101058 + 5101059.

It is an arithmetic number, because the mean of its divisors is an integer number (5101059).

Almost surely, 2^10202117 is an apocalyptic number.

It is an amenable number.

10202117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202117 is an equidigital number, since it uses as much as digits as its factorization.

10202117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 14.

The square root of 10202117 is about 3194.0752965452. The cubic root of 10202117 is about 216.8852912257.

Adding to 10202117 its reverse (71120201), we get a palindrome (81322318).

The spelling of 10202117 in words is "ten million, two hundred two thousand, one hundred seventeen".