"Our guys just couldn't miss," said coach Mike Krzyzewski.
Incredibly, they eclipsed the 100-point mark with five minutes still left in the third.
"When we get hot, it's a big problem," Kobe Bryant said. "So you have all these guys on one team and they all get hot on the same night, it's tough."
They broke the Olympic record for most points in a game with 4 minutes, 37 seconds still to play - on an Andre Iguodala three - and set U.S. records for three-pointers (26), field goals (59), and field-goal percentage (71).
"It was just one of them nights where as a unit we had it going," Anthony said. "It could have been anybody out on the court playing against us."
The Americans seemed intent on breaking Nigeria's spirit, and when that was accomplished with ease, they made a profound statement with their marksmanship.
Nigeria was the first to get the message.
"When they shoot like this, I don't know if there is any team that can beat them," said Ike Diogu, one of the Nigerians who promised not to be intimidated by the Americans.
Bryant scored 16 points - 14 in the first quarter - for the Americans, who scored 49 points in the first, left the floor leading by 78-45 at half, and then doubled their total in the second half.
Russell Westbrook finished with 21 points, Kevin Love 15, and Kevin Durant 14 for the United States, which will play Lithuania on Saturday. The Americans have won their first three games with ease, but now things are expected to get a lot tougher as they approach next week's medal round.
Diogu scored 27 to lead Nigeria (1-2), which was as good as done after Durant hit a three-pointer 11 seconds in, snapping an 0-for-14 slump by the United States in the first quarter in the tourney.
Bryant was mostly a nonfactor in wins over France and Tunisia, playing just 21 minutes and getting into early foul trouble. But from the outset against Nigeria, the two-time Olympian was as deadly as ever. He set the tone by scoring seven quick points as the United States (3-0) raced to a 13-0 lead, a haymaker that stunned the Nigerians.
"We were looking forward to this game, playing against the U.S.," Diogu said. "You know we wanted to use this to show the world what type of team we are. We just came out flat, turned the ball over too many times, and they made us pay every time."