10211210222117 has 2 divisors, whose sum is σ = 10211210222118. Its totient is φ = 10211210222116.

The previous prime is 10211210222051. The next prime is 10211210222131. The reversal of 10211210222117 is 71122201211201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10085235627076 + 125974595041 = 3175726^2 + 354929^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211210222117 - 2³⁰ = 10210136480293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10211210222092 and 10211210222101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10211210221117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105605111058 + 5105605111059.

It is an arithmetic number, because the mean of its divisors is an integer number (5105605111059).

Almost surely, 2^{10211210222117} is an apocalyptic number.

It is an amenable number.

10211210222117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211210222117 is an equidigital number, since it uses as much as digits as its factorization.

10211210222117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 23.

Adding to 10211210222117 its reverse (71122201211201), we get a palindrome (81333411433318).

The spelling of 10211210222117 in words is "ten trillion, two hundred eleven billion, two hundred ten million, two hundred twenty-two thousand, one hundred seventeen".