110010010011011 has 64 divisors (see below), whose sum is σ = 124588646640000. Its totient is φ = 96297504768000.

The previous prime is 110010010010981. The next prime is 110010010011017. The reversal of 110010010011011 is 110110010010011.

It is a cyclic number.

It is not a de Polignac number, because 110010010011011 - 2⁶ = 110010010010947 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 110010010011011.

It is not an unprimeable number, because it can be changed into a prime (110010010011017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1655522315 + ... + 1655588763.

It is an arithmetic number, because the mean of its divisors is an integer number (1946697603750).

Almost surely, 2^{110010010011011} is an apocalyptic number.

110010010011011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110010010011011 is a deficient number, since it is larger than the sum of its proper divisors (14578636628989).

110010010011011 is a wasteful number, since it uses less digits than its factorization.

110010010011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66920.

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

Adding to 110010010011011 its reverse (110110010010011), we get a palindrome (220120020021022).

It can be divided in two parts, 1100100 and 10011011, that added together give a palindrome (11111111).

The spelling of 110010010011011 in words is "one hundred ten trillion, ten billion, ten million, eleven thousand, eleven".