Batelli was born in Macerata Feltria, a comune (municipality) in the Province of Pesaro e Urbino, in the Marche region of Italy.
He obtained his doctor of philosophy in 1884 from the University of Turin in Turin, the capital of the Piedmont region of Italy, under Andrea Naccari, his doctoral advisor.
He was the doctoral advisor of physicist Luigi Puccianti.
In 1897 he founded the Italian Physical Society.
Batelli died in Pisa, the capital city of the Province of Pisa, in the Tuscany region of Italy.
Dizionario biografico degli Italiani vol. 7 pp. 237-238 //archive.org/details/dizionariobiogra0000unse/page/n875/mode/2up ↩