Is sqlite last_insert_rowid atomic?

I use node.js sqlite3 to manipulate data. I use these codes to insert data to database and get inserted id:

db.run("INSERT INTO myTable (name) VALUES ('test')");
db.get("SELECT last_insert_rowid() as id", function (err, row) {
     console.log('Last inserted id is: ' + row['id']);
});

I think this is not stable. my db connection is always open. when my server serves this code on multiple and same time connections from clients, DoesSELECT last_insert_rowid() get id rightly? Is sqlite last_insert_rowid atomic? thanks.