211112129 has 2 divisors, whose sum is σ = 211112130. Its totient is φ = 211112128.

The previous prime is 211112117. The next prime is 211112189. The reversal of 211112129 is 921211112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211033729 + 78400 = 14527^2 + 280^2 .

It is a cyclic number.

It is not a de Polignac number, because 211112129 - 2⁴ = 211112113 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 211112129.

It is not a weakly prime, because it can be changed into another prime (211112189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105556064 + 105556065.

It is an arithmetic number, because the mean of its divisors is an integer number (105556065).

Almost surely, 2^211112129 is an apocalyptic number.

It is an amenable number.

211112129 is a deficient number, since it is larger than the sum of its proper divisors (1).

211112129 is an equidigital number, since it uses as much as digits as its factorization.

211112129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72, while the sum is 20.

The square root of 211112129 is about 14529.6981730523. The cubic root of 211112129 is about 595.4396195527.

The spelling of 211112129 in words is "two hundred eleven million, one hundred twelve thousand, one hundred twenty-nine".