Statement-1: A molecule of Buckminster fullerene exhibits aromatic character. 

Statement-2: All the carbon atoms undergo ${\mathrm{sp}}^2$ hybridization. Each carbon atom forms three sigma bonds with other three carbon atoms. The remaining electrons at each carbon is delocalized in molecular orbitals

A molecule of Buckminster fullerene exhibits aromatic character. Because a fullerene has three ${\mathrm{sp}}^2$ hybridized carbon atoms that are joined together by bonds. 

In the system, the fourth electron is delocalized. Antiaromatic are the five membered rings, whereas aromatic are the six membered rings.