1001221202321 has 2 divisors, whose sum is σ = 1001221202322. Its totient is φ = 1001221202320.

The previous prime is 1001221202287. The next prime is 1001221202341. The reversal of 1001221202321 is 1232021221001.

1001221202321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 857640835921 + 143580366400 = 926089^2 + 378920^2 .

It is an emirp because it is prime and its reverse (1232021221001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001221202321 - 2⁶ = 1001221202257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1001221202321.

It is not a weakly prime, because it can be changed into another prime (1001221202341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500610601160 + 500610601161.

It is an arithmetic number, because the mean of its divisors is an integer number (500610601161).

Almost surely, 2^{1001221202321} is an apocalyptic number.

It is an amenable number.

1001221202321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001221202321 is an equidigital number, since it uses as much as digits as its factorization.

1001221202321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1001221202321 its reverse (1232021221001), we get a palindrome (2233242423322).

The spelling of 1001221202321 in words is "one trillion, one billion, two hundred twenty-one million, two hundred two thousand, three hundred twenty-one".