A palindrome date has the numbers mirrored so it can be read forwards and backwards. For this to work the preceding zero’s need to be used. Today’s date is a very rare palindrome date that works in both the UK and US date styles:

02/02/2020

It's over 1000 years until the next time this happens on March third 3030.

This morning we had 02:20 02/02/2020 which is both a palindrome time and palindrome date which only use zeros and twos. We’ll get another chance for this later this evening just after 8pm at 20:02 02/02/2020.

Whilst not palindrome’s I think the following time and date combinations are quite elegant too:

20:20 02/02/2020
20:20 20/02/2020

So enjoy today, and celebrate the mathematical marvel of today’s date.