101005605006010 has 64 divisors (see below), whose sum is σ = 186408323892000. Its totient is φ = 39382154936320.

The previous prime is 101005605005971. The next prime is 101005605006013. The reversal of 101005605006010 is 10600506500101.

It can be written as a sum of positive squares in 16 ways, for example, as 3464955150721 + 97540649855289 = 1861439^2 + 9876267^2 .

It is a super-2 number, since 2×101005605006010² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101005605006013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6413453616 + ... + 6413469364.

Almost surely, 2^{101005605006010} is an apocalyptic number.

101005605006010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101005605006010 is a deficient number, since it is larger than the sum of its proper divisors (85402718885990).

101005605006010 is a wasteful number, since it uses less digits than its factorization.

101005605006010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28563.

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 101005605006010 in words is "one hundred one trillion, five billion, six hundred five million, six thousand, ten".