100200112193 has 2 divisors, whose sum is σ = 100200112194. Its totient is φ = 100200112192.

The previous prime is 100200112163. The next prime is 100200112211. The reversal of 100200112193 is 391211002001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92883533824 + 7316578369 = 304768^2 + 85537^2 .

It is an emirp because it is prime and its reverse (391211002001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100200112193 - 2⁸ = 100200111937 is a prime.

It is not a weakly prime, because it can be changed into another prime (100200112123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100056096 + 50100056097.

It is an arithmetic number, because the mean of its divisors is an integer number (50100056097).

Almost surely, 2^100200112193 is an apocalyptic number.

It is an amenable number.

100200112193 is a deficient number, since it is larger than the sum of its proper divisors (1).

100200112193 is an equidigital number, since it uses as much as digits as its factorization.

100200112193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 100200112193 its reverse (391211002001), we get a palindrome (491411114194).

The spelling of 100200112193 in words is "one hundred billion, two hundred million, one hundred twelve thousand, one hundred ninety-three".