My employment is 'at -will ' employment and can be terminate at any time by either party given resonable time. what is that time

"At will" is traditionally no notice. Employers can just decide and escort you out, just like you could quit anytime you want.

Think about it if you were going to be fired how much notice would the employer give you?

If you have a contract, your employment may not be at will. You should review the entire contract to see what you agreed to do.

In general, if a term is undefined by the contract, the community's usual practices may be used to find the term's meaning. Employees often quit or are fired with notice given 0 day to a month before the last working day.

If you give 2 week notice, the employer likely does not have to retain you and pay you for those 2 weeks unless the contract specifies that the employer must pay you. In some situation, the employer may just escort the employee out the door once the employee gives notice of quitting. Some employers fear the employees may do something bad during the notice period.

You may want to review your specific facts with your attorney to see what your legal options are.