Let p be a prime number and q = p m for some positive integer m. In this paper, we find the possible Hermitian hull dimensions of λ-constacyclic codes over Re = F q 2 + uF q 2 + u 2 F q 2 + • • • + u e-1 F q 2 , u e = 1 where F q 2 is the finite field of q 2 elements, e|(q + 1) and λ = η1α1 + η2α2 + • • • + ηeαe for αl ∈ F * q 2 of order rl such that rl | q + 1 (for each 1 ≤ l ≤ e). Further, we obtain some conditions for these codes to be Hermitian LCD. Also, under certain conditions, we establish a strong result that converts every constacyclic code to a Hermitian LCD code (Corollaries 3.2 and 3.3). Moreover, we study the structure of generator polynomials for Hermitian dual-containing constacyclic codes and obtain parameters of quantum codes using the Hermitian construction. The approach that we used to derive Hermitian dual-containing conditions via the hull has not been used earlier. As an application, we obtain several optimal and near-to-optimal LCD codes, constacyclic codes having small hull dimensions, and quantum codes.