102012210217 has 2 divisors, whose sum is σ = 102012210218. Its totient is φ = 102012210216.

The previous prime is 102012210211. The next prime is 102012210221. The reversal of 102012210217 is 712012210201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63393671961 + 38618538256 = 251781^2 + 196516^2 .

It is an emirp because it is prime and its reverse (712012210201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102012210217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102012210194 and 102012210203.

It is not a weakly prime, because it can be changed into another prime (102012210211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51006105108 + 51006105109.

It is an arithmetic number, because the mean of its divisors is an integer number (51006105109).

Almost surely, 2^102012210217 is an apocalyptic number.

It is an amenable number.

102012210217 is a deficient number, since it is larger than the sum of its proper divisors (1).

102012210217 is an equidigital number, since it uses as much as digits as its factorization.

102012210217 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 102012210217 its reverse (712012210201), we get a palindrome (814024420418).

The spelling of 102012210217 in words is "one hundred two billion, twelve million, two hundred ten thousand, two hundred seventeen".