112011001122091 has 2 divisors, whose sum is σ = 112011001122092. Its totient is φ = 112011001122090.

The previous prime is 112011001121951. The next prime is 112011001122121. The reversal of 112011001122091 is 190221100110211.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 112011001122091 - 2²⁵ = 112010967567659 is a prime.

It is a super-2 number, since 2×112011001122091² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112011001129091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56005500561045 + 56005500561046.

It is an arithmetic number, because the mean of its divisors is an integer number (56005500561046).

Almost surely, 2^{112011001122091} is an apocalyptic number.

112011001122091 is a deficient number, since it is larger than the sum of its proper divisors (1).

112011001122091 is an equidigital number, since it uses as much as digits as its factorization.

112011001122091 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 112011001122091 in words is "one hundred twelve trillion, eleven billion, one million, one hundred twenty-two thousand, ninety-one".