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150 AD is in the second century, which spans the years 101-200.
The tenth century spans the years from 901 - 1000. Note that not all people agree on this, and many believe that 1000 is the first year of the eleventh century; but if you count 100 years at once, starting at year 1, the situation is quite clear: the 1st. century is from 1-100, the 2nd century is from 101-200, etc.
It is 100, which does not belong to any other number!
No, they can belong to infinitely many subsets.
Sixteenth century.