Heterotrophic eukaryotes that digest their food externally and absorb the small molecules are referred to as saprotrophs or saprophytes.

Here's a breakdown:

* Heterotrophic: They obtain their nutrition from consuming other organisms.

* Eukaryotic: They have a nucleus and other membrane-bound organelles within their cells.

* External digestion: They release enzymes outside their bodies to break down food into smaller molecules.

* Absorption: They absorb the broken-down nutrients directly into their cells.

Examples of saprotrophs include:

* Fungi: They play a crucial role in decomposing dead organic matter, recycling nutrients back into the ecosystem.

* Bacteria: Many bacteria are saprotrophic, breaking down decaying matter and releasing nutrients.

* Some protists: Certain protists, like slime molds, are saprotrophic.

Important Note: While the term "saprophyte" is commonly used, it can be misleading. Some scientists prefer the term "saprotroph" because "phyte" suggests a plant, and many saprotrophs are not plants.