100122220330193 has 2 divisors, whose sum is σ = 100122220330194. Its totient is φ = 100122220330192.

The previous prime is 100122220330151. The next prime is 100122220330229. The reversal of 100122220330193 is 391033022221001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65349875741329 + 34772344588864 = 8083927^2 + 5896808^2 .

It is an emirp because it is prime and its reverse (391033022221001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100122220330193 - 2¹⁴ = 100122220313809 is a prime.

It is not a weakly prime, because it can be changed into another prime (100122220320193) 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, 50061110165096 + 50061110165097.

It is an arithmetic number, because the mean of its divisors is an integer number (50061110165097).

Almost surely, 2^{100122220330193} is an apocalyptic number.

It is an amenable number.

100122220330193 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122220330193 is an equidigital number, since it uses as much as digits as its factorization.

100122220330193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 29.

Adding to 100122220330193 its reverse (391033022221001), we get a palindrome (491155242551194).

The spelling of 100122220330193 in words is "one hundred trillion, one hundred twenty-two billion, two hundred twenty million, three hundred thirty thousand, one hundred ninety-three".