The long-standing quest for obscured (Type 2) quasars, the high-luminosity, long-sought after ``big cousins" of local Seyfert~2 galaxies, has brought to significant results over the last few years, mainly thanks to the joint efforts of X-ray surveys and infrared observations with Spitzer. We attack the Type 2 quasar problem using selections in different wavebands, mainly X-rays and infrared, aiming at providing a comprehensive picture of the Type 2 quasar population. We present the results recently obtained for a sample of hard X-ray selected AGN, providing estimates of their black hole mass, bolometric luminosity, and Eddington ratio. We also report on the X-ray properties of mid-infrared sources characterized by extreme mid-IR-to-optical flux ratio, and we finally speculate about the possibility that heavily obscured (Compton-thick) quasars may hide among the population of SDSS quasars.