Not sure what you mean with "data centre details" but the biggest addressable unit in Kubernetes ATM is a cluster. All relevant info about the context you're operating in can be viewed and updated via the kubectl config command, see also the docs.

It is not very clear what is 'datacenter' in your context. If you are referring to a cluster, then kubectl cluster-info or kubectl get nodes may be what you are looking for.

If 'datacenter' is 'all clusters that this kubectl is configured to access', then maybe kubectl config get-contexts or kubectl config get-clusters is what you are looking for. (a 'context' contains everything needed to address a single cluster: the cluster name, the access credentials and the default namespace).