1001011011009 has 16 divisors (see below), whose sum is σ = 1350316163520. Its totient is φ = 659546993600.

The previous prime is 1001011010933. The next prime is 1001011011023. The reversal of 1001011011009 is 9001101101001.

It is a cyclic number.

It is not a de Polignac number, because 1001011011009 - 2¹¹ = 1001011008961 is a prime.

It is a super-2 number, since 2×1001011011009² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001011011029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2796819 + ... + 3134360.

It is an arithmetic number, because the mean of its divisors is an integer number (84394760220).

Almost surely, 2^{1001011011009} is an apocalyptic number.

It is an amenable number.

1001011011009 is a deficient number, since it is larger than the sum of its proper divisors (349305152511).

1001011011009 is a wasteful number, since it uses less digits than its factorization.

1001011011009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5931840.

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

The spelling of 1001011011009 in words is "one trillion, one billion, eleven million, eleven thousand, nine".