11102112101101 has 24 divisors (see below), whose sum is σ = 12923016094656. Its totient is φ = 9509972028480.

The previous prime is 11102112101083. The next prime is 11102112101111. The reversal of 11102112101101 is 10110121120111.

It is not a de Polignac number, because 11102112101101 - 2¹³ = 11102112092909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102112101111) 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 23 ways as a sum of consecutive naturals, for example, 557129200 + ... + 557149126.

It is an arithmetic number, because the mean of its divisors is an integer number (538459003944).

Almost surely, 2^{11102112101101} is an apocalyptic number.

It is an amenable number.

11102112101101 is a deficient number, since it is larger than the sum of its proper divisors (1820903993555).

11102112101101 is a wasteful number, since it uses less digits than its factorization.

11102112101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26689 (or 26682 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 11102112101101 its reverse (10110121120111), we get a palindrome (21212233221212).

The spelling of 11102112101101 in words is "eleven trillion, one hundred two billion, one hundred twelve million, one hundred one thousand, one hundred one".