110011001001011 has 16 divisors (see below), whose sum is σ = 120353415781248. Its totient is φ = 99725495443200.

The previous prime is 110011001000867. The next prime is 110011001001029. The reversal of 110011001001011 is 110100100110011.

It is not a de Polignac number, because 110011001001011 - 2¹⁴ = 110011000984627 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 110011001001011.

It is not an unprimeable number, because it can be changed into a prime (110011001001061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 590693696 + ... + 590879906.

It is an arithmetic number, because the mean of its divisors is an integer number (7522088486328).

Almost surely, 2^{110011001001011} is an apocalyptic number.

110011001001011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110011001001011 is a deficient number, since it is larger than the sum of its proper divisors (10342414780237).

110011001001011 is a wasteful number, since it uses less digits than its factorization.

110011001001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338722.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 110011001001011 its reverse (110100100110011), we get a palindrome (220111101111022).

The spelling of 110011001001011 in words is "one hundred ten trillion, eleven billion, one million, one thousand, eleven".