10000112191 has 2 divisors, whose sum is σ = 10000112192. Its totient is φ = 10000112190.

The previous prime is 10000112189. The next prime is 10000112197. The reversal of 10000112191 is 19121100001.

10000112191 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10000112191 - 2¹ = 10000112189 is a prime.

Together with 10000112189, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000112197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000056095 + 5000056096.

It is an arithmetic number, because the mean of its divisors is an integer number (5000056096).

Almost surely, 2^10000112191 is an apocalyptic number.

10000112191 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000112191 is an equidigital number, since it uses as much as digits as its factorization.

10000112191 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 10000112191 its reverse (19121100001), we get a palindrome (29121212192).

The spelling of 10000112191 in words is "ten billion, one hundred twelve thousand, one hundred ninety-one".