A lithium-ion hybrid supercapacitor comprising (i) an electrode comprising nitrogen-doped carbon nanotubes (N-CNTs), and (ii) an electrode comprising an electrically conductive graphene material. The supercapacitor can comprise an electrolyte which is a solution of (i) a lithium salt selected from Li[PF2(C2O4)2], Li[SO3CF3], Li[N(CF3SO2)2], Li[C(CF3SO2)3], Li[N(SO2C2F5)2], LiClO4, LiPF6, LiAsF6, LiBF4, LiB(C6F5)4, LiB(C6H5)4, Li[B(C2O4)2], Li[BF2(C2O4)], and a mixture of any two or more thereof, and (ii) a solvent selected form dimethyl carbonate (DMC), ethyl methyl carbonate (EMC), diethyl carbonate (DEC), methyl propyl carbonate (MPC), ethyl propyl carbonate (EPC), ethylene carbonate (EC), propylene carbonate (PC), and a mixture of any two or more thereof