CaPd
2
P
2
is a recently reported superconducting
material belonging to the well-known ThCr
2
Si
2
-type family. First-principles density functional theory calculations
have been carried out to investigate the structural, mechanical, thermophysical,
optical, electronic, and superconducting properties of the CaPd
2
P
2
compound under pressure. To the best of our
knowledge, this is the first theoretical approach to studying the
pressure effect on the fundamental physical and superconducting properties
of CaPd
2
P
2
. It is mechanically stable under
the studied pressures. The applied hydrostatic pressure reveals a
noticeable impact on elastic moduli of CaPd
2
P
2
. It exhibits ductile nature under the studied pressure. Significant
anisotropic behavior of the compound is revealed with/without pressure.
The study of melting temperature shows that the compound has a higher
melting temperature, which increases with the increasing applied pressure.
The investigation of the electronic properties strongly supports the
optical function analysis. The reflectivity as well as the absorption
spectra shifts to higher energy with the increasing applied pressure.
The pressure-dependent behavior of the superconducting transition
temperature,
T
c
, is revealed with a pressure-induced
increasing trend in Debye temperature.