1101011011009 has 16 divisors (see below), whose sum is σ = 1360363229568. Its totient is φ = 867739963392.

The previous prime is 1101011010997. The next prime is 1101011011021. The reversal of 1101011011009 is 9001101101011.

It is an interprime number because it is at equal distance from previous prime (1101011010997) and next prime (1101011011021).

It is a cyclic number.

It is not a de Polignac number, because 1101011011009 - 2¹⁷ = 1101010879937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1101011010983 and 1101011011001.

It is not an unprimeable number, because it can be changed into a prime (1101011011109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23515567 + ... + 23562340.

It is an arithmetic number, because the mean of its divisors is an integer number (85022701848).

Almost surely, 2^{1101011011009} is an apocalyptic number.

It is an amenable number.

1101011011009 is a deficient number, since it is larger than the sum of its proper divisors (259352218559).

1101011011009 is a wasteful number, since it uses less digits than its factorization.

1101011011009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47078184.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 1101011011009 in words is "one trillion, one hundred one billion, eleven million, eleven thousand, nine".