Data analytics on encrypted data elements is disclosed. One example is a system including a first data system, a second data system, and a data analytics system. The first data system includes a first data element and a first encryption module with a first private key. The second data system includes a plurality of second data elements and a second encryption module with a second private key. The first encryption module and the second encryption module are communicatively linked to one another, to apply, via the first and second private keys, an encryption protocol to the first data element and the plurality of second data elements to encrypt the data elements. The data analytics system maps the encrypted data elements to an analytics space, performs data analytics based on the mapped data elements, and distributes, via a computing device, results of the data analytics to an information retrieval system.