10022121110321 has 2 divisors, whose sum is σ = 10022121110322. Its totient is φ = 10022121110320.

The previous prime is 10022121110311. The next prime is 10022121110357. The reversal of 10022121110321 is 12301112122001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9996277332721 + 25843777600 = 3161689^2 + 160760^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022121110321 - 2⁶ = 10022121110257 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10022121110321.

It is not a weakly prime, because it can be changed into another prime (10022121110311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011060555160 + 5011060555161.

It is an arithmetic number, because the mean of its divisors is an integer number (5011060555161).

Almost surely, 2^{10022121110321} is an apocalyptic number.

It is an amenable number.

10022121110321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022121110321 is an equidigital number, since it uses as much as digits as its factorization.

10022121110321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 10022121110321 its reverse (12301112122001), we get a palindrome (22323233232322).

The spelling of 10022121110321 in words is "ten trillion, twenty-two billion, one hundred twenty-one million, one hundred ten thousand, three hundred twenty-one".