1100110110011 has 24 divisors (see below), whose sum is σ = 1234725118032. Its totient is φ = 979199020800.

The previous prime is 1100110109971. The next prime is 1100110110031.

1100110110011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1100110110011 - 2⁶ = 1100110109947 is a prime.

1100110110011 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1100110110031) 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 23 ways as a sum of consecutive naturals, for example, 755576 + ... + 1664666.

It is an arithmetic number, because the mean of its divisors is an integer number (51446879918).

Almost surely, 2^{1100110110011} is an apocalyptic number.

1100110110011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1100110110011 is a deficient number, since it is larger than the sum of its proper divisors (134615008021).

1100110110011 is a wasteful number, since it uses less digits than its factorization.

1100110110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909323 (or 909312 counting only the distinct ones).

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

It can be divided in two parts, 1100110 and 110011, that added together give a palindrome (1210121).

The spelling of 1100110110011 in words is "one trillion, one hundred billion, one hundred ten million, one hundred ten thousand, eleven".