211121121161 has 2 divisors, whose sum is σ = 211121121162. Its totient is φ = 211121121160.

The previous prime is 211121121011. The next prime is 211121121173. The reversal of 211121121161 is 161121121112.

211121121161 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., 133805982025 + 77315139136 = 365795^2 + 278056^2 .

It is a cyclic number.

It is not a de Polignac number, because 211121121161 - 2³⁰ = 210047379337 is a prime.

It is not a weakly prime, because it can be changed into another prime (211121121961) 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, 105560560580 + 105560560581.

It is an arithmetic number, because the mean of its divisors is an integer number (105560560581).

Almost surely, 2^211121121161 is an apocalyptic number.

It is an amenable number.

211121121161 is a deficient number, since it is larger than the sum of its proper divisors (1).

211121121161 is an equidigital number, since it uses as much as digits as its factorization.

211121121161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48, while the sum is 20.

Adding to 211121121161 its reverse (161121121112), we get a palindrome (372242242273).

The spelling of 211121121161 in words is "two hundred eleven billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred sixty-one".