100000102217 has 2 divisors, whose sum is σ = 100000102218. Its totient is φ = 100000102216.

The previous prime is 100000102199. The next prime is 100000102249. The reversal of 100000102217 is 712201000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71826144016 + 28173958201 = 268004^2 + 167851^2 .

It is a cyclic number.

It is not a de Polignac number, because 100000102217 - 2¹⁴ = 100000085833 is a prime.

It is not a weakly prime, because it can be changed into another prime (100000102277) 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, 50000051108 + 50000051109.

It is an arithmetic number, because the mean of its divisors is an integer number (50000051109).

Almost surely, 2^100000102217 is an apocalyptic number.

It is an amenable number.

100000102217 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000102217 is an equidigital number, since it uses as much as digits as its factorization.

100000102217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 14.

Adding to 100000102217 its reverse (712201000001), we get a palindrome (812201102218).

The spelling of 100000102217 in words is "one hundred billion, one hundred two thousand, two hundred seventeen".