Synonyms for Greatness (same or very similar meaning)
WordNet sense 1 (the property possessed by something or someone of outstanding importance or eminence):
illustriousnessWordNet sense 2 (unusual largeness in size or extent or number):
enormousness, grandness, immensity, vastness, wideness, immenseness, sizeablenessFrom the ODE community, based on WordNetadd/edit