I have 120 maps with the same name pattern: arc_01, arc_02, arc_03, arc_(...) and want to sum all of them in one.

Does anyone know how to do it automatically in GRASS GIS raster calculator?

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You should consider using r.series. Perhaps something as follows will work in your case:

r.series input="`g.list pattern='arc_*' sep=,`" output=arc_sum method=sum

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