110011010101011 has 48 divisors (see below), whose sum is σ = 165717663471360. Its totient is φ = 72927915334560.

The previous prime is 110011010100967. The next prime is 110011010101033. The reversal of 110011010101011 is 110101010110011.

It is not a de Polignac number, because 110011010101011 - 2¹¹ = 110011010098963 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 = 110011010100984 and 110011010101002.

It is not an unprimeable number, because it can be changed into a prime (110011010108011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1617227946 + ... + 1617295968.

It is an arithmetic number, because the mean of its divisors is an integer number (3452451322320).

Almost surely, 2^{110011010101011} is an apocalyptic number.

110011010101011 is a deficient number, since it is larger than the sum of its proper divisors (55706653370349).

110011010101011 is an equidigital number, since it uses as much as digits as its factorization.

110011010101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105398 (or 105386 counting only the distinct ones).

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

Adding to 110011010101011 its reverse (110101010110011), we get a palindrome (220112020211022).

The spelling of 110011010101011 in words is "one hundred ten trillion, eleven billion, ten million, one hundred one thousand, eleven".