10002100216217 has 2 divisors, whose sum is σ = 10002100216218. Its totient is φ = 10002100216216.

The previous prime is 10002100216193. The next prime is 10002100216237. The reversal of 10002100216217 is 71261200120001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9906982871296 + 95117344921 = 3147536^2 + 308411^2 .

It is an emirp because it is prime and its reverse (71261200120001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10002100216217 - 2¹² = 10002100212121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10002100216192 and 10002100216201.

It is not a weakly prime, because it can be changed into another prime (10002100216237) 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, 5001050108108 + 5001050108109.

It is an arithmetic number, because the mean of its divisors is an integer number (5001050108109).

Almost surely, 2^{10002100216217} is an apocalyptic number.

It is an amenable number.

10002100216217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002100216217 is an equidigital number, since it uses as much as digits as its factorization.

10002100216217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 10002100216217 its reverse (71261200120001), we get a palindrome (81263300336218).

The spelling of 10002100216217 in words is "ten trillion, two billion, one hundred million, two hundred sixteen thousand, two hundred seventeen".