110110100001011 has 32 divisors (see below), whose sum is σ = 122451946119360. Its totient is φ = 98176002048000.

The previous prime is 110110100001001. The next prime is 110110100001017. The reversal of 110110100001011 is 110100001011011.

It is a cyclic number.

It is not a de Polignac number, because 110110100001011 - 2⁶ = 110110100000947 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110110100001011.

It is not an unprimeable number, because it can be changed into a prime (110110100001017) 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, 510566675 + ... + 510782291.

It is an arithmetic number, because the mean of its divisors is an integer number (3826623316230).

Almost surely, 2^{110110100001011} is an apocalyptic number.

110110100001011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110110100001011 is a deficient number, since it is larger than the sum of its proper divisors (12341846118349).

110110100001011 is a wasteful number, since it uses less digits than its factorization.

110110100001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220055.

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

Adding to 110110100001011 its reverse (110100001011011), we get a palindrome (220210101012022).

It can be divided in two parts, 11011010000 and 1011, that added together give a palindrome (11011011011).

The spelling of 110110100001011 in words is "one hundred ten trillion, one hundred ten billion, one hundred million, one thousand, eleven".