To talk about dates in English, the ordinal numbers are used to refer to the day of the month:
We write: New Year’s Day is 1st January.
We say: New Year’s Day is the first of January.
We write: Her birthday is on 29th March.
We say: Her birthday is on the twenty ninth of March.
To talk about years, they are usually divided into two halves:
1984 = nineteen eighty four (19 / 84)
1066 = ten sixty six (10/66)
1999 = nineteen ninety nine (19/99)
However, this changes with the year 2000, which is read two thousand, and the following years up to 2009 (two thousand and nine):
2001 = two thousand and one
2002 = two thousand and two
2003 = two thousand and three
Until we get to 2010 which can be said either way: two thousand and ten or twenty ten.
The same applies to:
2011 = two thousand and eleven or twenty eleven
2012 = two thousand and twelve or twenty twelve
Up to 2019 = two thousand and nineteen or twenty nineteen.