What determines if someone is required to provide a 1099 for services rendered?

I recently had a conversation with a client that said “I want to work with someone who has a company set up because I don’t want to deal with 1099 stuff”... What exactly does that mean?

I have a LLC and I told him that I invoice each job. He said that was perfect. So I am not sure why that is perfect and why he doesn’t have to deal with 1099 stuff.

I have had similar consulting jobs where I invoiced for the job and still received a 1099.

If I did not have the LLC, would he be required to provide the 1099? What does having a company have to do with the 1099?