The name of the village has come to be known because of its beautiful 14th century Gothic church which is one of the most valuable monuments of the environs of Odorheiu Secuiesc. Mugeni is the administrative centre of 11 villages (Lutita, Beta, Betesti, Dejutiu, Porumbenii Mici, Matiseni, Porumbenii Mari, Dobeni, Alunis, Taietura). The village is situated in one of the widening basins of the middle section of the Tarnava Mare Valley, the Mugeni Valley at 450-475 m above sea level, on the washland. It lies 11 km far from Odorheiu-Secuiesc and 17 km from Cristuru-Secuiesc along the no. 137 bituminized county road. Its railway station is on the northern part of the village, at a 1 km distance from the centre. To the north, Taietura can be approached (along the no. 18 local road - 5.5 km). The country lane leads to Dirjiu along the Mugeni Stream, across the Csákány Ridge (6 km). Lutita lies at a 4 km, Dejutiu at a 5 km distance to the west.
The church is one of the most beautiful mediaeval architectural monuments of the former Tinutul Odorheiului. Standing in the old centre of the village, on the left bank of the Tarnava Mare, it is surrounded by a low stone-wall with portals in the north and south . The church was built of stone and brick in the 14th century and underwent several transformation in the 15th century. It stands on an area of 278 m2. Originally it was a Roman Catholic church.
The most important values in the church are its 13.-14th. century frescos, its coffered ceiling and runic record. The vast majority of the Szeklerland frescos bears the marks of the late Romanesque style. One of the earliest illustrations of this transitional period can be seen in Mugeni.