112277111772211 has 2 divisors, whose sum is σ = 112277111772212. Its totient is φ = 112277111772210.

The previous prime is 112277111772167. The next prime is 112277111772227.

It is a happy number.

112277111772211 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 112277111772211 - 2¹³ = 112277111764019 is a prime.

It is a super-2 number, since 2×112277111772211² (a number of 29 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is not a weakly prime, because it can be changed into another prime (112277111772271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56138555886105 + 56138555886106.

It is an arithmetic number, because the mean of its divisors is an integer number (56138555886106).

Almost surely, 2^{112277111772211} is an apocalyptic number.

112277111772211 is a deficient number, since it is larger than the sum of its proper divisors (1).

112277111772211 is an equidigital number, since it uses as much as digits as its factorization.

112277111772211 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 38416, while the sum is 43.

The spelling of 112277111772211 in words is "one hundred twelve trillion, two hundred seventy-seven billion, one hundred eleven million, seven hundred seventy-two thousand, two hundred eleven".