2112111109177 has 2 divisors, whose sum is σ = 2112111109178. Its totient is φ = 2112111109176.

The previous prime is 2112111109123. The next prime is 2112111109181. The reversal of 2112111109177 is 7719011112112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1438166983696 + 673944125481 = 1199236^2 + 820941^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112111109177 - 2⁷ = 2112111109049 is a prime.

It is a super-2 number, since 2×2112111109177² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2112111109117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056055554588 + 1056055554589.

It is an arithmetic number, because the mean of its divisors is an integer number (1056055554589).

Almost surely, 2^{2112111109177} is an apocalyptic number.

It is an amenable number.

2112111109177 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112111109177 is an equidigital number, since it uses as much as digits as its factorization.

2112111109177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1764, while the sum is 34.

The spelling of 2112111109177 in words is "two trillion, one hundred twelve billion, one hundred eleven million, one hundred nine thousand, one hundred seventy-seven".