101010011001009 has 32 divisors (see below), whose sum is σ = 151995690656640. Its totient is φ = 59104997683200.

The previous prime is 101010011000981. The next prime is 101010011001013. The reversal of 101010011001009 is 900100110010101.

It is not a de Polignac number, because 101010011001009 - 2⁸ = 101010011000753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101010011001079) 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, 23700049 + ... + 27635345.

It is an arithmetic number, because the mean of its divisors is an integer number (4749865333020).

Almost surely, 2^{101010011001009} is an apocalyptic number.

It is an amenable number.

101010011001009 is a deficient number, since it is larger than the sum of its proper divisors (50985679655631).

101010011001009 is a wasteful number, since it uses less digits than its factorization.

101010011001009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3962161.

The product of its (nonzero) digits is 9, while the sum is 15.

The spelling of 101010011001009 in words is "one hundred one trillion, ten billion, eleven million, one thousand, nine".