1001102221013 has 2 divisors, whose sum is σ = 1001102221014. Its totient is φ = 1001102221012.

The previous prime is 1001102220967. The next prime is 1001102221057. The reversal of 1001102221013 is 3101222011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 666807795889 + 334294425124 = 816583^2 + 578182^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001102221013 - 2²⁶ = 1001035112149 is a prime.

It is a super-2 number, since 2×1001102221013² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001102226013) 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, 500551110506 + 500551110507.

It is an arithmetic number, because the mean of its divisors is an integer number (500551110507).

Almost surely, 2^{1001102221013} is an apocalyptic number.

It is an amenable number.

1001102221013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001102221013 is an equidigital number, since it uses as much as digits as its factorization.

1001102221013 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 1001102221013 its reverse (3101222011001), we get a palindrome (4102324232014).

The spelling of 1001102221013 in words is "one trillion, one billion, one hundred two million, two hundred twenty-one thousand, thirteen".