The reading that you are speaking of I assume is from a battery Volt meter. This reading is battery voltage that includes voltage drop from all users.
Example: You just finished a cruise of 4 hours. Your battery banks are all fully charged. You drop your anchor the volt gauge reads 13.0. The refrigerator is on the chart plotter is on the radio is on plus a few other 12V users. Let's say 7 amps of power coming off of your Lead acid batteries. The volt meter will quickly show a voltage drop of a couple of volts.It stays at this reading for a while and then drops as more stored power is removed. That drop is the percentage of battery discharged. This does not mean that your battery has depleted to that percentage of discharge. It means that the voltage drop is caused by the load plus the time the load is put on the battery. Checking battery voltage when 12Volt users are using power will not give an accurate reading of battery percentage used. You must remove all users let the battery sit and stabilize then check battery voltage. 12.4V or above would indicate you still have more than 50% charge.
As previously stated in a post. The simple plus accurate way to monitor your battery state when anchored is by installing a Victron battery monitor. You program, type of battery, size and battery capacity. It will monitor charge and usage amounts. Battery voltage is important to know but it does not tell the complete story.
I have a Victron monitor attached to my house bank that has 400 ah capacity. Once the battery information is programed into the monitor it will read, battery voltage, amps going into the bank when charging, amps going out of the bank when charging, amp hrs left, Battery discharged percentage, battery temperature and much more. When I am at anchor, in the morning I look at the battery voltage. The voltage can be as low as 12.2 V but the monitor reads I have 70% battery capacity left. I look at how many amps used usually around 120 ah. I switch it to read amps, -9 amp, meaning 9 amps is needed to run refrigerator and freezer at this time . I then turn the inverter on and start coffee the voltage is now down to 12V and the amp draw is now about 60 amps for about 10 minutes while coffee is brewing. inverter off voltage comes back up to 12.1 or 12.2 V, Battery capacity 65% as I just used 20 ah more. As soon as the sun comes up and the solar kicks in the amp I start to see amps in the positive and the battery bank starts to charge.
I don't think your reading of 12.1 V is out of line if you have 12Volt users on line when you are reading this voltage.