102200032117 has 2 divisors, whose sum is σ = 102200032118. Its totient is φ = 102200032116.

The previous prime is 102200032097. The next prime is 102200032139. The reversal of 102200032117 is 711230002201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84354812721 + 17845219396 = 290439^2 + 133586^2 .

It is a cyclic number.

It is not a de Polignac number, because 102200032117 - 2¹⁹ = 102199507829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102200032094 and 102200032103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102200035117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100016058 + 51100016059.

It is an arithmetic number, because the mean of its divisors is an integer number (51100016059).

Almost surely, 2^102200032117 is an apocalyptic number.

It is an amenable number.

102200032117 is a deficient number, since it is larger than the sum of its proper divisors (1).

102200032117 is an equidigital number, since it uses as much as digits as its factorization.

102200032117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 19.

Adding to 102200032117 its reverse (711230002201), we get a palindrome (813430034318).

The spelling of 102200032117 in words is "one hundred two billion, two hundred million, thirty-two thousand, one hundred seventeen".