102200210122117 has 2 divisors, whose sum is σ = 102200210122118. Its totient is φ = 102200210122116.

The previous prime is 102200210122103. The next prime is 102200210122141. The reversal of 102200210122117 is 711221012002201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69915836141761 + 32284373980356 = 8361569^2 + 5681934^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102200210122117 is a prime.

It is a super-2 number, since 2×102200210122117² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102200210122147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100105061058 + 51100105061059.

It is an arithmetic number, because the mean of its divisors is an integer number (51100105061059).

Almost surely, 2^{102200210122117} is an apocalyptic number.

It is an amenable number.

102200210122117 is a deficient number, since it is larger than the sum of its proper divisors (1).

102200210122117 is an equidigital number, since it uses as much as digits as its factorization.

102200210122117 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.

Adding to 102200210122117 its reverse (711221012002201), we get a palindrome (813421222124318).

The spelling of 102200210122117 in words is "one hundred two trillion, two hundred billion, two hundred ten million, one hundred twenty-two thousand, one hundred seventeen".