A porous sintered body with an electrically conductive coating is provided. The sintered body has an open porosity in a range from 10 to 90%. The electrically conductive coating is bonded to the surface of the pores and is part of a heating device in a vaporizer. The electrically conductive coating lines the pores located in the interior of the sintered body so that when the sintered body is electrically connected and a current is applied, the current flows at least partially through the interior of the sintered body so that the interior of the sintered body is heated. A method for producing a porous sintered body with an electrically conductive coating is also provided.