10221220012217 has 2 divisors, whose sum is σ = 10221220012218. Its totient is φ = 10221220012216.

The previous prime is 10221220012189. The next prime is 10221220012219. The reversal of 10221220012217 is 71221002212201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10215592161856 + 5627850361 = 3196184^2 + 75019^2 .

It is an emirp because it is prime and its reverse (71221002212201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10221220012217 - 2¹⁰ = 10221220011193 is a prime.

Together with 10221220012219, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10221220012192 and 10221220012201.

It is not a weakly prime, because it can be changed into another prime (10221220012219) 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, 5110610006108 + 5110610006109.

It is an arithmetic number, because the mean of its divisors is an integer number (5110610006109).

Almost surely, 2^{10221220012217} is an apocalyptic number.

It is an amenable number.

10221220012217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221220012217 is an equidigital number, since it uses as much as digits as its factorization.

10221220012217 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 23.

Adding to 10221220012217 its reverse (71221002212201), we get a palindrome (81442222224418).

The spelling of 10221220012217 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty million, twelve thousand, two hundred seventeen".