  The internal disorder of hydrogenic Rydberg atoms as contained in their
position and momentum probability densities is examined by means of the
following information-theoretic spreading quantities: the radial and
logarithmic expectation values, the Shannon entropy and the Fisher information.
As well, the complexity measures of Cr\'amer-Rao, Fisher-Shannon and LMC types
are investigated in both reciprocal spaces. The leading term of these
quantities is rigorously calculated by use of the asymptotic properties of the
concomitant entropic functionals of the Laguerre and Gegenbauer orthogonal
polynomials which control the wavefunctions of the Rydberg states in both
position and momentum spaces. The associated generalized Heisenberg-like,
logarithmic and entropic uncertainty relations are also given. Finally,
application to linear ($l=0$), circular ($l=n-1$) and quasicircular ($l=n-2$)
states is explicitly done.
