11011011112101 has 64 divisors (see below), whose sum is σ = 19907188955136. Its totient is φ = 5227727904000.

The previous prime is 11011011112099. The next prime is 11011011112163. The reversal of 11011011112101 is 10121111011011.

It is not a de Polignac number, because 11011011112101 - 2¹ = 11011011112099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011011102101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17848531 + ... + 18455136.

It is an arithmetic number, because the mean of its divisors is an integer number (311049827424).

Almost surely, 2^{11011011112101} is an apocalyptic number.

11011011112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11011011112101 is a deficient number, since it is larger than the sum of its proper divisors (8896177843035).

11011011112101 is a wasteful number, since it uses less digits than its factorization.

11011011112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36303802.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 11011011112101 its reverse (10121111011011), we get a palindrome (21132122123112).

It can be divided in two parts, 110110 and 11112101, that added together give a palindrome (11222211).

The spelling of 11011011112101 in words is "eleven trillion, eleven billion, eleven million, one hundred twelve thousand, one hundred one".