  (Abridged) Herbig Ae/Be stars (HAeBes) have so far been studied based on
relatively small samples that are scattered throughout the sky. Their
fundamental stellar and circumstellar parameters and statistical properties
were derived with heterogeneous approaches before Gaia. Our main goal is to
contribute to the study of HAeBes from the largest sample of such sources to
date, for which stellar and circumstellar properties have been determined
homogeneously from the analysis of the spectral energy distributions (SEDs) and
Gaia EDR3 parallaxes and photometry. Multiwavelength photometry was compiled
for 209 bona fide HAeBes for which Gaia EDR3 distances were estimated. Using
the Virtual Observatory SED Analyser (VOSA), photospheric models were fit to
the optical SEDs to derive stellar parameters, and the excesses at infrared
(IR) and longer wavelengths were characterized to derive several circumstellar
properties. The stellar temperature, luminosity, radius, mass, and age were
derived for each star based on optical photometry. In addition, their IR SEDs
were classified according to two different schemes, and their mass accretion
rates, disk masses, and the sizes of the inner dust holes were also estimated
uniformly. The initial mass function fits the stellar mass distribution of the
sample within 2 < M_star/M_sun < 12. In this aspect, the sample is therefore
representative of the HAeBe regime and can be used for statistical purposes
when it is taken into account that the boundaries are not well probed. A
statistical analysis was carried out mainly focused on the different
circumstellar properties of Herbig Ae (HAe) and Be (HBe) stars. The complete
dataset is available online through a Virtual Observatory-compliant archive,
representing the most recent reference for statistical studies on the HAeBe
regime.
