What will happen is that the large denomination notes will just simply not be issued.
Want that $1000 in cash? That will be a lot of 20s or even 10s. This is chump change and of no interest.
Large amounts of $100s make it easy to pay for stuff "of interest" - large amounts of drugs, bribes, high end weapony, keeping wages or other taxable payments of the radar, etc. Smaller notes mean that physical transportation of large amounts of cash becomes more problematic and risky, but not impossible.
Pennies might go, but that will be just coincidence.
Better have a way of getting your 1000 swiss franc and 500 Euro notes ASAP, and hope.