Ok, let me see if I got this right. For the case of Mc = 107, the accretion rate minus the evaporation rate should be the rate at which the black hole grows, which would be 1.33 x 10-21 kg/second.
If I did my math right, 10 billion years is 3.16 x 1017 seconds. So, as a first approximation (I suppose the rates changes as the BH gets bigger) in 10 billion years, the BH will have gained 0.0004 kg. According to google, the Earth weighs 5.97 x 10 24 kg, so that is 7.03 x 10 -27% of the Earth. Of course the sun will become a red giant in half that time... so what's the problem?
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