10221333010321 has 2 divisors, whose sum is σ = 10221333010322. Its totient is φ = 10221333010320.

The previous prime is 10221333010237. The next prime is 10221333010363. The reversal of 10221333010321 is 12301033312201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8729282975296 + 1492050035025 = 2954536^2 + 1221495^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221333010321 - 2⁹ = 10221333009809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10221333010292 and 10221333010301.

It is not a weakly prime, because it can be changed into another prime (10221333010621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110666505160 + 5110666505161.

It is an arithmetic number, because the mean of its divisors is an integer number (5110666505161).

Almost surely, 2^{10221333010321} is an apocalyptic number.

It is an amenable number.

10221333010321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221333010321 is an equidigital number, since it uses as much as digits as its factorization.

10221333010321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 10221333010321 its reverse (12301033312201), we get a palindrome (22522366322522).

The spelling of 10221333010321 in words is "ten trillion, two hundred twenty-one billion, three hundred thirty-three million, ten thousand, three hundred twenty-one".