The generating function for \(p\)-regular partitions is given by \(\frac{{(q^p;q^p)}_\infty}{{(q;q)}_\infty}\) .In this paper, we will investigate the reciprocal of this generating function. Several interesting results will be presented, and as a corollary of one of these, we will get a parity result due to Sellers for \(p\)-regular partitions with distinct parts.