100122200121241 has 2 divisors, whose sum is σ = 100122200121242. Its totient is φ = 100122200121240.

The previous prime is 100122200121107. The next prime is 100122200121263. The reversal of 100122200121241 is 142121002221001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57192238128025 + 42929961993216 = 7562555^2 + 6552096^2 .

It is an emirp because it is prime and its reverse (142121002221001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100122200121241 - 2³⁹ = 99572444307353 is a prime.

It is not a weakly prime, because it can be changed into another prime (100122206121241) 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, 50061100060620 + 50061100060621.

It is an arithmetic number, because the mean of its divisors is an integer number (50061100060621).

Almost surely, 2^{100122200121241} is an apocalyptic number.

It is an amenable number.

100122200121241 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122200121241 is an equidigital number, since it uses as much as digits as its factorization.

100122200121241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 100122200121241 its reverse (142121002221001), we get a palindrome (242243202342242).

The spelling of 100122200121241 in words is "one hundred trillion, one hundred twenty-two billion, two hundred million, one hundred twenty-one thousand, two hundred forty-one".