102200022220117 has 2 divisors, whose sum is σ = 102200022220118. Its totient is φ = 102200022220116.

The previous prime is 102200022220061. The next prime is 102200022220123. The reversal of 102200022220117 is 711022220002201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98385946022961 + 3814076197156 = 9918969^2 + 1952966^2 .

It is a cyclic number.

It is not a de Polignac number, because 102200022220117 - 2³¹ = 102197874736469 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102200022220717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100011110058 + 51100011110059.

It is an arithmetic number, because the mean of its divisors is an integer number (51100011110059).

Almost surely, 2^{102200022220117} is an apocalyptic number.

It is an amenable number.

102200022220117 is a deficient number, since it is larger than the sum of its proper divisors (1).

102200022220117 is an equidigital number, since it uses as much as digits as its factorization.

102200022220117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 448, while the sum is 22.

Adding to 102200022220117 its reverse (711022220002201), we get a palindrome (813222242222318).

The spelling of 102200022220117 in words is "one hundred two trillion, two hundred billion, twenty-two million, two hundred twenty thousand, one hundred seventeen".