Palindromic times and dates

Look for palindromes on a 12-hour clock. Read only the digits, leaving out the colon:

• 4:44 → 4, 4, 4: palindromic.
• 12:21 → 1, 2, 2, 1: palindromic.
• 10:01 → 1, 0, 0, 1: palindromic.

Careful: not every patterned time is a palindrome. 10:10 gives 1, 0, 1, 0, but backwards it reads 0, 1, 0, 1. It repeats, but it is not a palindrome.

Dates can be palindromes too. Meghana's birthday is 11/02/2011: its digits 1, 1, 0, 2, 2, 0, 1, 1 read exactly the same backwards. Her brother Manish's birthday, 20/12/2012, has 2, 0, 1, 2 repeating, but backwards it reads 2, 1, 0, 2, 2, 1, 0, 2, so it is not a palindrome.

The time is 10:01. How long until the next palindromic time? After 10:01, no other time starting with 10 works: the last digit would have to be 1 and the one before it 0. With 11, the time must be 11:11. From 10:01 to 11:01 is 60 minutes, and 10 more to 11:11 makes 70 minutes.

A calendar fact while we are here: your birthday falls on a different weekday each year. A year has 365 days, which is 52 weeks and 1 day, so each date moves one weekday later (two in a leap year, which has 366 days).