2112211120091 has 2 divisors, whose sum is σ = 2112211120092. Its totient is φ = 2112211120090.

The previous prime is 2112211120069. The next prime is 2112211120153. The reversal of 2112211120091 is 1900211122112.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2112211120091 is a prime.

It is a super-2 number, since 2×2112211120091² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2112211128091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056105560045 + 1056105560046.

It is an arithmetic number, because the mean of its divisors is an integer number (1056105560046).

Almost surely, 2^{2112211120091} is an apocalyptic number.

2112211120091 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112211120091 is an equidigital number, since it uses as much as digits as its factorization.

2112211120091 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 2112211120091 in words is "two trillion, one hundred twelve billion, two hundred eleven million, one hundred twenty thousand, ninety-one".