102102221022017 has 2 divisors, whose sum is σ = 102102221022018. Its totient is φ = 102102221022016.

The previous prime is 102102221021989. The next prime is 102102221022047. The reversal of 102102221022017 is 710220122201201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87521095483441 + 14581125538576 = 9355271^2 + 3818524^2 .

It is a cyclic number.

It is not a de Polignac number, because 102102221022017 - 2⁶ = 102102221021953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102102221021983 and 102102221022001.

It is not a weakly prime, because it can be changed into another prime (102102221022047) 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, 51051110511008 + 51051110511009.

It is an arithmetic number, because the mean of its divisors is an integer number (51051110511009).

Almost surely, 2^{102102221022017} is an apocalyptic number.

It is an amenable number.

102102221022017 is a deficient number, since it is larger than the sum of its proper divisors (1).

102102221022017 is an equidigital number, since it uses as much as digits as its factorization.

102102221022017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448, while the sum is 23.

Adding to 102102221022017 its reverse (710220122201201), we get a palindrome (812322343223218).

The spelling of 102102221022017 in words is "one hundred two trillion, one hundred two billion, two hundred twenty-one million, twenty-two thousand, seventeen".