1002110002217 has 2 divisors, whose sum is σ = 1002110002218. Its totient is φ = 1002110002216.

The previous prime is 1002110002207. The next prime is 1002110002219. The reversal of 1002110002217 is 7122000112001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 935265002281 + 66844999936 = 967091^2 + 258544^2 .

It is an emirp because it is prime and its reverse (7122000112001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1002110002217 - 2³² = 997815034921 is a prime.

Together with 1002110002219, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002110002195 and 1002110002204.

It is not a weakly prime, because it can be changed into another prime (1002110002219) 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, 501055001108 + 501055001109.

It is an arithmetic number, because the mean of its divisors is an integer number (501055001109).

Almost surely, 2^{1002110002217} is an apocalyptic number.

It is an amenable number.

1002110002217 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002110002217 is an equidigital number, since it uses as much as digits as its factorization.

1002110002217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 1002110002217 its reverse (7122000112001), we get a palindrome (8124110114218).

The spelling of 1002110002217 in words is "one trillion, two billion, one hundred ten million, two thousand, two hundred seventeen".