211123311123121 has 2 divisors, whose sum is σ = 211123311123122. Its totient is φ = 211123311123120.

The previous prime is 211123311123119. The next prime is 211123311123149. The reversal of 211123311123121 is 121321113321112.

211123311123121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211000608739600 + 122702383521 = 14525860^2 + 350289^2 .

It is a cyclic number.

It is not a de Polignac number, because 211123311123121 - 2¹ = 211123311123119 is a prime.

Together with 211123311123119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (211123311123191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105561655561560 + 105561655561561.

It is an arithmetic number, because the mean of its divisors is an integer number (105561655561561).

Almost surely, 2^{211123311123121} is an apocalyptic number.

It is an amenable number.

211123311123121 is a deficient number, since it is larger than the sum of its proper divisors (1).

211123311123121 is an equidigital number, since it uses as much as digits as its factorization.

211123311123121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 432, while the sum is 25.

Adding to 211123311123121 its reverse (121321113321112), we get a palindrome (332444424444233).

The spelling of 211123311123121 in words is "two hundred eleven trillion, one hundred twenty-three billion, three hundred eleven million, one hundred twenty-three thousand, one hundred twenty-one".