110100000110011 has 16 divisors (see below), whose sum is σ = 110899526500224. Its totient is φ = 109302461236224.

The previous prime is 110100000109907. The next prime is 110100000110047. The reversal of 110100000110011 is 110011000001011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 110100000110011 - 2⁹ = 110100000109499 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110100000109976 and 110100000110003.

It is not an unprimeable number, because it can be changed into a prime (110100000117011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338923015 + ... + 339247711.

It is an arithmetic number, because the mean of its divisors is an integer number (6931220406264).

Almost surely, 2^{110100000110011} is an apocalyptic number.

110100000110011 is a deficient number, since it is larger than the sum of its proper divisors (799526390213).

110100000110011 is a wasteful number, since it uses less digits than its factorization.

110100000110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327750.

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

Adding to 110100000110011 its reverse (110011000001011), we get a palindrome (220111000111022).

The spelling of 110100000110011 in words is "one hundred ten trillion, one hundred billion, one hundred ten thousand, eleven".