10112210221117 has 2 divisors, whose sum is σ = 10112210221118. Its totient is φ = 10112210221116.

The previous prime is 10112210221097. The next prime is 10112210221129. The reversal of 10112210221117 is 71112201221101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6065329658521 + 4046880562596 = 2462789^2 + 2011686^2 .

It is an emirp because it is prime and its reverse (71112201221101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10112210221117 - 2¹⁵ = 10112210188349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10112210221717) 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, 5056105110558 + 5056105110559.

It is an arithmetic number, because the mean of its divisors is an integer number (5056105110559).

Almost surely, 2^{10112210221117} is an apocalyptic number.

It is an amenable number.

10112210221117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112210221117 is an equidigital number, since it uses as much as digits as its factorization.

10112210221117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 22.

Adding to 10112210221117 its reverse (71112201221101), we get a palindrome (81224411442218).

The spelling of 10112210221117 in words is "ten trillion, one hundred twelve billion, two hundred ten million, two hundred twenty-one thousand, one hundred seventeen".