10221311312321 has 2 divisors, whose sum is σ = 10221311312322. Its totient is φ = 10221311312320.

The previous prime is 10221311312299. The next prime is 10221311312347. The reversal of 10221311312321 is 12321311312201.

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., 10087998697921 + 133312614400 = 3176161^2 + 365120^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221311312321 - 2⁶ = 10221311312257 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10221311314321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110655656160 + 5110655656161.

It is an arithmetic number, because the mean of its divisors is an integer number (5110655656161).

Almost surely, 2^{10221311312321} is an apocalyptic number.

It is an amenable number.

10221311312321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221311312321 is an equidigital number, since it uses as much as digits as its factorization.

10221311312321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 10221311312321 its reverse (12321311312201), we get a palindrome (22542622624522).

The spelling of 10221311312321 in words is "ten trillion, two hundred twenty-one billion, three hundred eleven million, three hundred twelve thousand, three hundred twenty-one".