211122020120129 has 2 divisors, whose sum is σ = 211122020120130. Its totient is φ = 211122020120128.

The previous prime is 211122020120111. The next prime is 211122020120131. The reversal of 211122020120129 is 921021020221112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211026523669504 + 95496450625 = 14526752^2 + 309025^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211122020120129 is a prime.

Together with 211122020120131, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 211122020120098 and 211122020120107.

It is not a weakly prime, because it can be changed into another prime (211122020120149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105561010060064 + 105561010060065.

It is an arithmetic number, because the mean of its divisors is an integer number (105561010060065).

Almost surely, 2^{211122020120129} is an apocalyptic number.

It is an amenable number.

211122020120129 is a deficient number, since it is larger than the sum of its proper divisors (1).

211122020120129 is an equidigital number, since it uses as much as digits as its factorization.

211122020120129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 211122020120129 in words is "two hundred eleven trillion, one hundred twenty-two billion, twenty million, one hundred twenty thousand, one hundred twenty-nine".