Question About The Treasury Secretary's Authority Over Denom

Okay, the title of this thread was going to be "Question about the Treasury Secretary's authority over issuing denominations of coins and currency" which obviously, would not fit.

Anyway, to the topic at hand. As many of us may know, even though $500, $1,000, $5,000 and $10,000 bills are considered "obsolete", and are no longer being printed, the Treasury Secretary still has the authority to order print runs of any of these four denominations of currency, and the Federal Reserve has the authority to order these large denominations if they choose to, and if the Fed does choose to order any or all of these four denominations, the Treasury must order the BEP to do a print run of them.

That being said, I have never seen, or ever thought to ask, is the Secretary of the Treasury still authorized to order MINT runs of Half Cent, 2 cent, 3 cent and/or 20 cent coins? And is the Federal Reserve still authorized to order mint runs of any of these coin denominations? I'm just curious. I don't intend to write Congress, the Treasury, Federal Reserve or U.S. Mint about reissuing any of these obsolete coin denominations, although, I am tempted to suggest reissuing the 2 cent coin, arguing that, if they minted 2 cent coins again, the government could save money on minting less pennies, even though they will STILL NOT come out ahead minting 1, 2, and/or 5 cent coins, a 2 cent coin would still cut the Mint's losses a bit, and due to the fact that the Euro has a 2 cent Euro coin, a U.S. 2 cent coin doesn't sound all that ridiculous to me.