Your data center is not emitting ionization radiation unless:
1)Unless your datacenter is outfitted with UV generating bulbs or x-ray machines,
2) your datacenters is so hot that it is emitting visible light that is white or blue (red and yellow are still ok)
3) Your data center requires nuclear reactions that emit: UV, x-ray, gamma, and/or high energy subatomic particles, in order to operate correctly
I dont know of any data centers that do any of the above.
Your data center may be emitting non-ionizing radation however. Your first question should be if you believe non-ionizing radiation is necessarily bad for animals or plants (microwave, infrared, and radio). I believe there are no conclusive studies that show non-ionizing radiation in moderate doses is bad for you.
If you do believe non-ionizing radation is bad for, now you need to measure how much there is.
1) Does your data center use a lot of wireless equipment for some reason?
2) Are there high frequency high powered data lines near your area?