Question

Which type of organization means that there are few or no levels of managers in between the top people who run the company and the employees?

Answer 1

The type of organization is "flat organization".
Other names that are used for the flat organization are:
horizontal organization or delayering organization.

The structure of flat organization alludes to having a generally modest number of layers in your organization's authoritative graph. This is because of a generally higher traverse of control and moderately less layers of administration.