110100011101011 has 72 divisors (see below), whose sum is σ = 172067799037680. Its totient is φ = 67650564980736.

The previous prime is 110100011100979. The next prime is 110100011101043. The reversal of 110100011101011 is 110101110001011.

It is an interprime number because it is at equal distance from previous prime (110100011100979) and next prime (110100011101043).

It is not a de Polignac number, because 110100011101011 - 2⁵ = 110100011100979 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110100011100984 and 110100011101002.

It is not an unprimeable number, because it can be changed into a prime (110100011101411) 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 71 ways as a sum of consecutive naturals, for example, 3206436835 + ... + 3206471171.

It is an arithmetic number, because the mean of its divisors is an integer number (2389830542190).

Almost surely, 2^{110100011101011} is an apocalyptic number.

110100011101011 is a deficient number, since it is larger than the sum of its proper divisors (61967787936669).

110100011101011 is a wasteful number, since it uses less digits than its factorization.

110100011101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48133 (or 48093 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 110100011101011 its reverse (110101110001011), we get a palindrome (220201121102022).

The spelling of 110100011101011 in words is "one hundred ten trillion, one hundred billion, eleven million, one hundred one thousand, eleven".