102012022100017 has 2 divisors, whose sum is σ = 102012022100018. Its totient is φ = 102012022100016.

The previous prime is 102012022099979. The next prime is 102012022100029. The reversal of 102012022100017 is 710001220210201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61687185266161 + 40324836833856 = 7854119^2 + 6350184^2 .

It is a cyclic number.

It is not a de Polignac number, because 102012022100017 - 2¹¹ = 102012022097969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102012022099967 and 102012022100003.

It is not a weakly prime, because it can be changed into another prime (102012022100717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51006011050008 + 51006011050009.

It is an arithmetic number, because the mean of its divisors is an integer number (51006011050009).

Almost surely, 2^{102012022100017} is an apocalyptic number.

It is an amenable number.

102012022100017 is a deficient number, since it is larger than the sum of its proper divisors (1).

102012022100017 is an equidigital number, since it uses as much as digits as its factorization.

102012022100017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 19.

Adding to 102012022100017 its reverse (710001220210201), we get a palindrome (812013242310218).

The spelling of 102012022100017 in words is "one hundred two trillion, twelve billion, twenty-two million, one hundred thousand, seventeen".