1101101100011 has 6 divisors (see below), whose sum is σ = 1210301209236. Its totient is φ = 1001000999900.

The previous prime is 1101101099999. The next prime is 1101101100017. The reversal of 1101101100011 is 1100011011011.

It is not a de Polignac number, because 1101101100011 - 2¹⁸ = 1101100837867 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1101101100017) 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 5 ways as a sum of consecutive naturals, for example, 4550004425 + ... + 4550004666.

It is an arithmetic number, because the mean of its divisors is an integer number (201716868206).

Almost surely, 2^{1101101100011} is an apocalyptic number.

1101101100011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1101101100011 is a deficient number, since it is larger than the sum of its proper divisors (109200109225).

1101101100011 is an equidigital number, since it uses as much as digits as its factorization.

1101101100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9100009113 (or 9100009102 counting only the distinct ones).

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

Adding to 1101101100011 its reverse (1100011011011), we get a palindrome (2201112111022).

It can be divided in two parts, 11011011000 and 11, that added together give a palindrome (11011011011).

The spelling of 1101101100011 in words is "one trillion, one hundred one billion, one hundred one million, one hundred thousand, eleven".