
die Fülle
abundance
A very large amount or number of something; an excess or plenty.
Er war von der Fülle an Informationen überwältigt.
He was overwhelmed by the abundance of information.
abundance / fullness
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abundance
A very large amount or number of something; an excess or plenty.
Er war von der Fülle an Informationen überwältigt.
He was overwhelmed by the abundance of information.

richness
Richness and variety, often in reference to abstract things such as ideas, feelings, or experiences.
Das Buch besticht durch seine Fülle an kreativen Ideen.
The book stands out because of its richness of creative ideas.

fullness
A rounded, full-figured body shape.
Mit den Jahren hat ihre Figur an Fülle gewonnen.
Over the years, her figure has gained in fullness.
The noun 'die Fülle' (abundance/fullness) comes from the adjective 'voll' (full). It describes the state when something is full or available in abundance.
Der Korb war voll mit Äpfeln, es war eine Fülle an Obst da.
The basket was full of apples; there was an abundance of fruit.
To say what there is a large amount of, 'Fülle' (abundance) is very often used with the preposition 'an' followed by the dative. For example: 'eine Fülle an Möglichkeiten' (an abundance of possibilities).
Das Museum bietet eine Fülle an interessanten Ausstellungsstücken.
The museum offers an abundance of interesting exhibits.
The idiom 'in Hülle und Fülle' means 'a great deal' or 'in abundance'. It is often used to emphasize that something is available in plentiful amounts.
Auf dem Fest gab es Essen und Trinken in Hülle und Fülle.
At the festival, there was food and drink in abundance.
The meaning 'rundliche Körperform' (rounded body shape) is used only in the context of describing people or their figure. It is often a polite or euphemistic description.
Das Kleid schmeichelte ihrer Fülle.
The dress flattered her fullness.
amount / crowd
Menge and Fülle can both express that a lot is available. Menge refers neutrally to the quantity. Fülle places more emphasis on richness, abundance, or variety, so it is especially suitable when numerous different pieces of information or ideas are meant.

Der Reiseführer bietet eine Fülle von Informationen über Berlin.
The guidebook offers a wealth of information about Berlin.
Der Reiseführer enthält eine große Menge an Informationen über Berlin.
The guidebook contains a large amount of information about Berlin.