Never odd or even

I like a good palindrome, a phrase that reads the same frontwards and back, such as "Madam, I'm Adam."  They are flaunted as an indication of language mastery and were independently wrought in many ancient languages from Greek, Latin, Hebrew, Sanskrit, etc.  But significant numbers can be palindromes as well

This morning at 1:21:02 am was the second which had a full combination read both backwards and forwards. 2012-12-12 1:21:02 = 201212-1-212102.  Actually, by that logic since the 0 in 24hr clock format (0121L) won't fit (01 would become 10), that implies a 12 hour clock and means that this afternoon at 1:21:02 pm