10210010210117 has 2 divisors, whose sum is σ = 10210010210118. Its totient is φ = 10210010210116.

The previous prime is 10210010210089. The next prime is 10210010210159. The reversal of 10210010210117 is 71101201001201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8994534829921 + 1215475380196 = 2999089^2 + 1102486^2 .

It is a cyclic number.

It is not a de Polignac number, because 10210010210117 - 2²⁴ = 10209993432901 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10210010210095 and 10210010210104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10210010218117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105005105058 + 5105005105059.

It is an arithmetic number, because the mean of its divisors is an integer number (5105005105059).

Almost surely, 2^{10210010210117} is an apocalyptic number.

It is an amenable number.

10210010210117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10210010210117 is an equidigital number, since it uses as much as digits as its factorization.

10210010210117 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 17.

Adding to 10210010210117 its reverse (71101201001201), we get a palindrome (81311211211318).

The spelling of 10210010210117 in words is "ten trillion, two hundred ten billion, ten million, two hundred ten thousand, one hundred seventeen".