100122220020013 has 2 divisors, whose sum is σ = 100122220020014. Its totient is φ = 100122220020012.

The previous prime is 100122220019971. The next prime is 100122220020037. The reversal of 100122220020013 is 310020022221001.

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., 84765203067204 + 15357016952809 = 9206802^2 + 3918803^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100122220020013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100122220020313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061110010006 + 50061110010007.

It is an arithmetic number, because the mean of its divisors is an integer number (50061110010007).

Almost surely, 2^{100122220020013} is an apocalyptic number.

It is an amenable number.

100122220020013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122220020013 is an equidigital number, since it uses as much as digits as its factorization.

100122220020013 is an evil number, because the sum of its binary digits is even.

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

Adding to 100122220020013 its reverse (310020022221001), we get a palindrome (410142242241014).

The spelling of 100122220020013 in words is "one hundred trillion, one hundred twenty-two billion, two hundred twenty million, twenty thousand, thirteen".