10112212221217 has 2 divisors, whose sum is σ = 10112212221218. Its totient is φ = 10112212221216.

The previous prime is 10112212221203. The next prime is 10112212221227. The reversal of 10112212221217 is 71212221221101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10106797616161 + 5414605056 = 3179119^2 + 73584^2 .

It is a cyclic number.

It is not a de Polignac number, because 10112212221217 - 2²³ = 10112203832609 is a prime.

It is a super-2 number, since 2×10112212221217² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10112212221191 and 10112212221200.

It is not a weakly prime, because it can be changed into another prime (10112212221227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056106110608 + 5056106110609.

It is an arithmetic number, because the mean of its divisors is an integer number (5056106110609).

Almost surely, 2^{10112212221217} is an apocalyptic number.

It is an amenable number.

10112212221217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112212221217 is an equidigital number, since it uses as much as digits as its factorization.

10112212221217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448, while the sum is 25.

Adding to 10112212221217 its reverse (71212221221101), we get a palindrome (81324433442318).

The spelling of 10112212221217 in words is "ten trillion, one hundred twelve billion, two hundred twelve million, two hundred twenty-one thousand, two hundred seventeen".