100002022013 has 2 divisors, whose sum is σ = 100002022014. Its totient is φ = 100002022012.

The previous prime is 100002021953. The next prime is 100002022019. The reversal of 100002022013 is 310220200001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83672504644 + 16329517369 = 289262^2 + 127787^2 .

It is a cyclic number.

It is not a de Polignac number, because 100002022013 - 2³² = 95707054717 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100002021985 and 100002022003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100002022019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50001011006 + 50001011007.

It is an arithmetic number, because the mean of its divisors is an integer number (50001011007).

Almost surely, 2^100002022013 is an apocalyptic number.

It is an amenable number.

100002022013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100002022013 is an equidigital number, since it uses as much as digits as its factorization.

100002022013 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 11.

Adding to 100002022013 its reverse (310220200001), we get a palindrome (410222222014).

The spelling of 100002022013 in words is "one hundred billion, two million, twenty-two thousand, thirteen".