211211111129 has 2 divisors, whose sum is σ = 211211111130. Its totient is φ = 211211111128.

The previous prime is 211211111113. The next prime is 211211111131. The reversal of 211211111129 is 921111112112.

211211111129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 202752078400 + 8459032729 = 450280^2 + 91973^2 .

It is a cyclic number.

It is not a de Polignac number, because 211211111129 - 2⁴ = 211211111113 is a prime.

It is a super-2 number, since 2×211211111129² (a number of 23 digits) contains 22 as substring.

Together with 211211111131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (211211111729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105605555564 + 105605555565.

It is an arithmetic number, because the mean of its divisors is an integer number (105605555565).

Almost surely, 2^211211111129 is an apocalyptic number.

It is an amenable number.

211211111129 is a deficient number, since it is larger than the sum of its proper divisors (1).

211211111129 is an equidigital number, since it uses as much as digits as its factorization.

211211111129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72, while the sum is 23.

The spelling of 211211111129 in words is "two hundred eleven billion, two hundred eleven million, one hundred eleven thousand, one hundred twenty-nine".