999
EDIT
Wrong. It has to have three digits, so it's in the range between 100 and 999. The lowest one is 100, but it's an even number, so the next one is 101, which is an odd one.
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101 is the smallest odd 3-digit number.
The smallest 3-digit odd number is 101.
Which is the smallest nine digit odd number?
That would be 101
The smallest four digit number is 1000. It is even so 1001 is the smallest four digit number that is odd.