1002100122217 has 2 divisors, whose sum is σ = 1002100122218. Its totient is φ = 1002100122216.

The previous prime is 1002100122203. The next prime is 1002100122223. The reversal of 1002100122217 is 7122210012001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 825742959616 + 176357162601 = 908704^2 + 419949^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1002100122217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002100122194 and 1002100122203.

It is not a weakly prime, because it can be changed into another prime (1002100123217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501050061108 + 501050061109.

It is an arithmetic number, because the mean of its divisors is an integer number (501050061109).

Almost surely, 2^{1002100122217} is an apocalyptic number.

It is an amenable number.

1002100122217 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002100122217 is an equidigital number, since it uses as much as digits as its factorization.

1002100122217 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 1002100122217 its reverse (7122210012001), we get a palindrome (8124310134218).

The spelling of 1002100122217 in words is "one trillion, two billion, one hundred million, one hundred twenty-two thousand, two hundred seventeen".