10221133323221 has 2 divisors, whose sum is σ = 10221133323222. Its totient is φ = 10221133323220.

The previous prime is 10221133323197. The next prime is 10221133323223. The reversal of 10221133323221 is 12232333112201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9523482408196 + 697650915025 = 3086014^2 + 835255^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221133323221 - 2³⁰ = 10220059581397 is a prime.

It is a super-2 number, since 2×10221133323221² (a number of 27 digits) contains 22 as substring.

Together with 10221133323223, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221133323223) 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, 5110566661610 + 5110566661611.

It is an arithmetic number, because the mean of its divisors is an integer number (5110566661611).

Almost surely, 2^{10221133323221} is an apocalyptic number.

It is an amenable number.

10221133323221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221133323221 is an equidigital number, since it uses as much as digits as its factorization.

10221133323221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 10221133323221 its reverse (12232333112201), we get a palindrome (22453466435422).

The spelling of 10221133323221 in words is "ten trillion, two hundred twenty-one billion, one hundred thirty-three million, three hundred twenty-three thousand, two hundred twenty-one".