Take a 2 TiB flash drive. That’s 1e13 bytes or 1e16 bits. Suppose it’s one electron per bit. That’s approaching 1% of a Coulomb! So you take two flash drives, charge them up, and hold them 1cm apart, and they fly apart with several hundred meganewtons of force! The electrostatic force is strong!
This is, of course, completely wrong. When you write to flash, you are moving electrons around, not adding net electrons. The whole device stays electrically neutral (on average), and any mass change is due solely to minuscule relativistic effects if you add or remove energy.