10100210133217 has 2 divisors, whose sum is σ = 10100210133218. Its totient is φ = 10100210133216.

The previous prime is 10100210133151. The next prime is 10100210133257. The reversal of 10100210133217 is 71233101200101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5207049354816 + 4893160778401 = 2281896^2 + 2212049^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100210133217 - 2⁷ = 10100210133089 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100210133257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050105066608 + 5050105066609.

It is an arithmetic number, because the mean of its divisors is an integer number (5050105066609).

Almost surely, 2^{10100210133217} is an apocalyptic number.

It is an amenable number.

10100210133217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100210133217 is an equidigital number, since it uses as much as digits as its factorization.

10100210133217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 22.

Adding to 10100210133217 its reverse (71233101200101), we get a palindrome (81333311333318).

The spelling of 10100210133217 in words is "ten trillion, one hundred billion, two hundred ten million, one hundred thirty-three thousand, two hundred seventeen".