10002100210217 has 2 divisors, whose sum is σ = 10002100210218. Its totient is φ = 10002100210216.

The previous prime is 10002100210199. The next prime is 10002100210241. The reversal of 10002100210217 is 71201200120001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9864743990761 + 137356219456 = 3140819^2 + 370616^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002100210217 - 2¹⁸ = 10002099948073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10002100210195 and 10002100210204.

It is not a weakly prime, because it can be changed into another prime (10002100216217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001050105108 + 5001050105109.

It is an arithmetic number, because the mean of its divisors is an integer number (5001050105109).

Almost surely, 2^{10002100210217} is an apocalyptic number.

It is an amenable number.

10002100210217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002100210217 is an equidigital number, since it uses as much as digits as its factorization.

10002100210217 is an evil number, because the sum of its binary digits is even.

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

Adding to 10002100210217 its reverse (71201200120001), we get a palindrome (81203300330218).

The spelling of 10002100210217 in words is "ten trillion, two billion, one hundred million, two hundred ten thousand, two hundred seventeen".