1100110100011 has 32 divisors (see below), whose sum is σ = 1232066823680. Its totient is φ = 981227520000.

The previous prime is 1100110099961. The next prime is 1100110100051. The reversal of 1100110100011 is 1100010110011.

It is a happy number.

It is not a de Polignac number, because 1100110100011 - 2²⁹ = 1099573229099 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1100110099967 and 1100110100003.

It is not an unprimeable number, because it can be changed into a prime (1100110100051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45824011 + ... + 45848011.

It is an arithmetic number, because the mean of its divisors is an integer number (38502088240).

Almost surely, 2^{1100110100011} is an apocalyptic number.

1100110100011 is a deficient number, since it is larger than the sum of its proper divisors (131956723669).

1100110100011 is an equidigital number, since it uses as much as digits as its factorization.

1100110100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24744 (or 24718 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1100110100011 its reverse (1100010110011), we get a palindrome (2200120210022).

The spelling of 1100110100011 in words is "one trillion, one hundred billion, one hundred ten million, one hundred thousand, eleven".