100022010013 has 2 divisors, whose sum is σ = 100022010014. Its totient is φ = 100022010012.

The previous prime is 100022009987. The next prime is 100022010017. The reversal of 100022010013 is 310010220001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99832617369 + 189392644 = 315963^2 + 13762^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100022010013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100022010017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011005006 + 50011005007.

It is an arithmetic number, because the mean of its divisors is an integer number (50011005007).

Almost surely, 2^100022010013 is an apocalyptic number.

It is an amenable number.

100022010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022010013 is an equidigital number, since it uses as much as digits as its factorization.

100022010013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 100022010013 its reverse (310010220001), we get a palindrome (410032230014).

The spelling of 100022010013 in words is "one hundred billion, twenty-two million, ten thousand, thirteen".