100113312112241 has 2 divisors, whose sum is σ = 100113312112242. Its totient is φ = 100113312112240.

The previous prime is 100113312112201. The next prime is 100113312112273. The reversal of 100113312112241 is 142211213311001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75272906592016 + 24840405520225 = 8675996^2 + 4984015^2 .

It is a cyclic number.

It is not a de Polignac number, because 100113312112241 - 2³⁴ = 100096132243057 is a prime.

It is not a weakly prime, because it can be changed into another prime (100113312112201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056656056120 + 50056656056121.

It is an arithmetic number, because the mean of its divisors is an integer number (50056656056121).

Almost surely, 2^{100113312112241} is an apocalyptic number.

It is an amenable number.

100113312112241 is a deficient number, since it is larger than the sum of its proper divisors (1).

100113312112241 is an equidigital number, since it uses as much as digits as its factorization.

100113312112241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 100113312112241 its reverse (142211213311001), we get a palindrome (242324525423242).

The spelling of 100113312112241 in words is "one hundred trillion, one hundred thirteen billion, three hundred twelve million, one hundred twelve thousand, two hundred forty-one".