1001222220241 has 2 divisors, whose sum is σ = 1001222220242. Its totient is φ = 1001222220240.

The previous prime is 1001222220161. The next prime is 1001222220253. The reversal of 1001222220241 is 1420222221001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 704928160000 + 296294060241 = 839600^2 + 544329^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001222220241 - 2²⁵ = 1001188665809 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001222020241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500611110120 + 500611110121.

It is an arithmetic number, because the mean of its divisors is an integer number (500611110121).

Almost surely, 2^{1001222220241} is an apocalyptic number.

It is an amenable number.

1001222220241 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001222220241 is an equidigital number, since it uses as much as digits as its factorization.

1001222220241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 1001222220241 its reverse (1420222221001), we get a palindrome (2421444441242).

The spelling of 1001222220241 in words is "one trillion, one billion, two hundred twenty-two million, two hundred twenty thousand, two hundred forty-one".