10 billion trillion is only 10^21 which again I'll repeat is an extremely tiny number. The statistical probabilities we are discussing could only occur in 10^99^99^99 annum or more, and that is in ideal Earth conditions. Only a tiny fraction of those 10^21 planets may have Earth's conditions or none of them considering how tiny 10^21 is.
Why would you need an ideal Earth? Earth is hardly ideal for us, we die all the time from a myriad of natural causes. Also where are you getting that number from? I hate to be the source guy but I've not seen any credible scientist make a claim about the rarity of life in the universe being on that scale, because if they did they would be laughed out of academia considering there are only 10
atoms in the observable universe. I would check your math again
Also WRT ur last post, no scientist makes claims about the conditions leading up to the singularity because our methods of detecting these things are incapable of giving us that info. We don't know what it was like before expansion, or what caused it to expand, or how long it took to reach a point of expansion. Lots of theories, but again, we don't really have any way of knowing these conditions so one theory is as good as another for the most part. Which is to say that none of them are credible. Your desert god theory is just as valid as someone who thinks Vishnu is dreaming you into existence.