  We provide a variety of results for (quasi)convex, law-invariant functionals
defined on a general Orlicz space, which extend well-known results in the
setting of bounded random variables. First, we show that Delbaen's
representation of convex functionals with the Fatou property, which fails in a
general Orlicz space, can be always achieved under the assumption of
law-invariance. Second, we identify the range of Orlicz spaces where the
characterization of the Fatou property in terms of norm lower semicontinuity by
Jouini, Schachermayer and Touzi continues to hold. Third, we extend Kusuoka's
representation to a general Orlicz space. Finally, we prove a version of the
extension result by Filipovi\'{c} and Svindland by replacing norm lower
semicontinuity with the (generally non-equivalent) Fatou property. Our results
have natural applications to the theory of risk measures.
