1101100000011 has 16 divisors (see below), whose sum is σ = 1608655517568. Its totient is φ = 664393534400.

The previous prime is 1101100000003. The next prime is 1101100000019. The reversal of 1101100000011 is 1100000011011.

It is an interprime number because it is at equal distance from previous prime (1101100000003) and next prime (1101100000019).

It is a cyclic number.

It is not a de Polignac number, because 1101100000011 - 2³ = 1101100000003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1101100000019) 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, 73487370 + ... + 73502351.

It is an arithmetic number, because the mean of its divisors is an integer number (100540969848).

Almost surely, 2^{1101100000011} is an apocalyptic number.

1101100000011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1101100000011 is a deficient number, since it is larger than the sum of its proper divisors (507555517557).

1101100000011 is a wasteful number, since it uses less digits than its factorization.

1101100000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146989962.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1101100000011 its reverse (1100000011011), we get a palindrome (2201100011022).

The spelling of 1101100000011 in words is "one trillion, one hundred one billion, one hundred million, eleven", and thus it is an aban number.