112277555772211 has 2 divisors, whose sum is σ = 112277555772212. Its totient is φ = 112277555772210.

The previous prime is 112277555772139. The next prime is 112277555772241.

It is a happy number.

112277555772211 is nontrivially palindromic in base 10.

It is a strong prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 112277555772211 - 2²⁷ = 112277421554483 is a prime.

It is a zygodrome in base 10.

It is not a weakly prime, because it can be changed into another prime (112277555772241) 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, 56138777886105 + 56138777886106.

It is an arithmetic number, because the mean of its divisors is an integer number (56138777886106).

Almost surely, 2^{112277555772211} is an apocalyptic number.

112277555772211 is a deficient number, since it is larger than the sum of its proper divisors (1).

112277555772211 is an equidigital number, since it uses as much as digits as its factorization.

112277555772211 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4802000, while the sum is 55.

The spelling of 112277555772211 in words is "one hundred twelve trillion, two hundred seventy-seven billion, five hundred fifty-five million, seven hundred seventy-two thousand, two hundred eleven".