Can I have RandomPartitioner in the cluster in datacenter1 and Murmur3Partitioner in the cluster in datacenter2?
No, you need to have the same partitioner on all nodes in the cluster.
If you are asking this because you want a way of migrating from RandomPartitioner to Murmur3Partitioner then it won't work unfortunately. I don't know of a method of moving to Murmur3Partitioner on a live cluster, but the benefit is small so it is unlikely to be worth doing.