I go through this every damn time I go in for a new script. Always wrong, despite my giving them the damn National Drug Code (specifically so that errors like these don't happen; but these people still manage to get it wrong anyway). If it's not the concentration (100mg instead of 200mg), then it's 1mL vials instead of the 10mL vial (I can't get my full dose out of 1mL vials - they also cost a LOT more). Once they even put down Enanthate ($158) instead of Cypionate ($104); I don't even know if I have allergies to Enanthate! Now it's BS FDA controlled crap they're pulling with me... don't want you to have "more than a three month supply", damn the consequences (translation: we don't care if it's far more costly, and that your dose amount can't be derived from 1mL vials; HA-HA!). Absolutely ridiculous. Exactly why government has no business being involved in healthcare. And funny that NOW it's suddenly a concern, more than four years in.
Anyway... yes, you would have to double your dose volume to still get your full dose amount out of the 100mg concentration. HOWEVER, you will finish your vial in half the time you normally do (of the 200mg concentration vial). That could be a real problem if your doc decides to be a jerk and not give you a refill to carry you over to your next, typical, script issuance. In that scenario, it would actually be best to keep your normal volume but at half the dose concentration... some T is better than none, and, because it's really not good to start, stop, start, etc. T during the first five years or so. Puberty doesn't happen like that naturally... there could be physiological consequences (e.g. larynx development).
So, IN EXAMPLE, if you're at 1mL @ 200mg per 1mL then for 100mg @ 1mL you'd have to draw up 2mL to equate the dosage concentration of 1mL @ 200mg. AND NO, THIS IS NOT A DOSAGE, THIS IS A, AND RELEVANT, EXAMPLE OF CONCENTRATION/POTENCY X VOLUME (no other way to clearly explain it).
P.S. When, rather than if, this happens again you need to NOT pay for it. Get the pharmacy to call your doctor and request a correction - tell the pharmacist EXACTLY what it should be too, so they can tell the doc. If you pay for the incorrect med, you're stuck with it. And you don't need to be - and I'll clarify that further, IF this was a genuine error (not FDA BS being needlessly pulled over on you).