The social and economic impact of the COVID-19 pandemic demands the reduction of the time required to find a therapeutic cure. In the contest of urgent computing, we re-designed the Exscalate molecular docking platform to benefit from heterogeneous computation nodes and to avoid scaling issues. We deployed the Exscalate platform on two top European supercomputers (CINECA-Marconi100 and ENI-HPC5), with a combined computational power of 81 PFLOPS, to evaluate the interaction between 70 billions of small molecules and 15 binding-sites of 12 viral proteins of Sars-Cov2. The experiment lasted 60 hours and overall it performed a trillion of evaluations.