Learn English – ”He did everything.” – Turn this sentence into negative without changing its meaning

There are only a few markers in English which make a question a "negative-polarity" question:

• No
• Not
• Nothing
• Never

And any of their combined/contracted forms ("cannot", "don't", wasn't", etc.)

If and only if any of these appear in the sentence, it is considered a negative-polarity sentence and the "agreeing" response uses "neither":

• I had no idea.
• I was not present at the time.
• I had nothing to do with it.
• I never heard any complaints.

agreeing reply = Me neither!

A prefix on a word which reverses its meaning, even "non-", does not convert the sentence to negative polarity:

He was very non-committal.
- So was she.

The phrase no one of them is "grammatical" (taking that to mean that it is both idiomatic and meaningful), but it is not always the same thing as none of them. It is an emphatic form employed to distinguish a proposition concerning a number of entities taken singly from propositions concerning the same entities taken in combination.

Consider the difference between these two propositions concerning three people, Adolphus, Benjamin and Carloman, suspected of murdering Dionysius.

1. None of them killed him. This is taken to assert that all three are innocent of the murder.

2. No one of them killed him. This implies the possibility that two of them—A and B, or A and C, or B and C—or all three, conspired to commit the murder.

So it might be perfectly proper to say of three utterances that "No one of them is grammatical" if you intend to propose that some combination of the utterances is grammatical.