100022120202013 has 2 divisors, whose sum is σ = 100022120202014. Its totient is φ = 100022120202012.

The previous prime is 100022120201999. The next prime is 100022120202023. The reversal of 100022120202013 is 310202021220001.

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., 94649121373284 + 5372998828729 = 9728778^2 + 2317973^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100022120202013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100022120202023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011060101006 + 50011060101007.

It is an arithmetic number, because the mean of its divisors is an integer number (50011060101007).

Almost surely, 2^{100022120202013} is an apocalyptic number.

It is an amenable number.

100022120202013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022120202013 is an equidigital number, since it uses as much as digits as its factorization.

100022120202013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 100022120202013 its reverse (310202021220001), we get a palindrome (410224141422014).

The spelling of 100022120202013 in words is "one hundred trillion, twenty-two billion, one hundred twenty million, two hundred two thousand, thirteen".