According to binding free energy, the combination of cyclocarbons and C60 fullerene in the gas phase is found to be spontaneous at room temperature, and the hydrophobic effect arising from solvent environment can facilitate their binding. Until C34, the binding strength of the cyclocarbons with C60 fullerene increases almost linearly with the increasing size, and the dimer of C34 and fullerene forms a perfect nano-Saturn structure. However, cyclocarbons larger than C34 have a reduced interaction with fullerene, because not all of their atoms can contact fullerenes closely. IGMH map, sobEDAw energy decomposition, fragment charges, and intermolecular total Mayer bond order collectively confirmed that the dimerization between cyclocarbon and fullerene is driven by the - stacking effect. The relative rotation between the monomers is found to be extremely easy due to negligible barrier.