2112001112191 has 2 divisors, whose sum is σ = 2112001112192. Its totient is φ = 2112001112190.

The previous prime is 2112001112189. The next prime is 2112001112213. The reversal of 2112001112191 is 1912111002112.

It is a happy number.

It is an a-pointer prime, because the next prime (2112001112213) can be obtained adding 2112001112191 to its sum of digits (22).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2112001112191 - 2¹ = 2112001112189 is a prime.

Together with 2112001112189, 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 (2112001112101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056000556095 + 1056000556096.

It is an arithmetic number, because the mean of its divisors is an integer number (1056000556096).

Almost surely, 2^{2112001112191} is an apocalyptic number.

2112001112191 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112001112191 is an equidigital number, since it uses as much as digits as its factorization.

2112001112191 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 2112001112191 in words is "two trillion, one hundred twelve billion, one million, one hundred twelve thousand, one hundred ninety-one".