211022129 has 2 divisors, whose sum is σ = 211022130. Its totient is φ = 211022128.

The previous prime is 211022107. The next prime is 211022131. The reversal of 211022129 is 921220112.

It is a happy number.

211022129 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., 175297600 + 35724529 = 13240^2 + 5977^2 .

It is a cyclic number.

It is not a de Polignac number, because 211022129 - 2⁸ = 211021873 is a prime.

Together with 211022131, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211022129.

It is not a weakly prime, because it can be changed into another prime (211022179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105511064 + 105511065.

It is an arithmetic number, because the mean of its divisors is an integer number (105511065).

Almost surely, 2^211022129 is an apocalyptic number.

It is an amenable number.

211022129 is a deficient number, since it is larger than the sum of its proper divisors (1).

211022129 is an equidigital number, since it uses as much as digits as its factorization.

211022129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 211022129 is about 14526.6007379566. The cubic root of 211022129 is about 595.3549928298.

The spelling of 211022129 in words is "two hundred eleven million, twenty-two thousand, one hundred twenty-nine".