10221101321 has 2 divisors, whose sum is σ = 10221101322. Its totient is φ = 10221101320.

The previous prime is 10221101299. The next prime is 10221101329. The reversal of 10221101321 is 12310112201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9665839225 + 555262096 = 98315^2 + 23564^2 .

It is an emirp because it is prime and its reverse (12310112201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10221101321 - 2²² = 10216907017 is a prime.

It is a super-3 number, since 3×10221101321³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10221101296 and 10221101305.

It is not a weakly prime, because it can be changed into another prime (10221101329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110550660 + 5110550661.

It is an arithmetic number, because the mean of its divisors is an integer number (5110550661).

Almost surely, 2^10221101321 is an apocalyptic number.

It is an amenable number.

10221101321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221101321 is an equidigital number, since it uses as much as digits as its factorization.

10221101321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10221101321 its reverse (12310112201), we get a palindrome (22531213522).

The spelling of 10221101321 in words is "ten billion, two hundred twenty-one million, one hundred one thousand, three hundred twenty-one".