Sounds like it might be the coolant temperature sensor. Not the one that goes to the gauge but the one that the ECU reads the temp from. It could just be going out of range (but not shorted or open to throw a code) and not allowing the engine to git enough gas fer the proper temp. BTW...it's not an easy sensor to git to either...

 

I had a 97 Firebird that would do this too. turns out it was a crank shaft sensor!!! not sure if this is related or not. but it was a pain in the you know what to diagnose. it was intermittent, but sometimes it would just not fire up. finialy my shop drove out to where i was and hooked up a scanner gauge and found that sensor to be faulty. just a thought, not sure if the T100 has it or not, but just a thought.

 

I am currently having this same issue with the same truck. did you solve this issue?

 

I have the same problem with most toyotas I have owned...many different engines but same issue. Try pumping the accelerator rapidly 4-5 times and while cranking. Has worked over 20 years for me!!

 

I think they all fixed it since this was from many years ago!

 

I knew it was an old thread but it must be a common issue. I'm guessing fuel related but the crank seems weird...almost as if the timing belt was gone.
I have had this issue with three different generations of Corollas too. Same cure. Add one Camry.
Thanks for any ideas!

 

Lean towards the ECT.

 

I had changed almost everything relate to this issue, but the problem still there. I suspect the culprit is vapor locks. I let the engine cool off for about 45 mins to an hour then its will start up just fine.