[{"aaa":true,"bbb":111,},{"aaa":false,"bbb":111,}]

db.collection.aggregate([{"$group":{"_id":"0","sum":{"$sum":"$bbb"},"aaa_all":{"$push":"$aaa"}}},{"$project":{"sum":1,"aaa_and":{"$allElementsTrue":"$aaa_all"},"aaa_or":{"$anyElementTrue":"$aaa_all"}}}])