11102112112 has 40 divisors (see below), whose sum is σ = 26474270816. Its totient is φ = 4392043776.

The previous prime is 11102112107. The next prime is 11102112127. The reversal of 11102112112 is 21121120111.

It is a happy number.

11102112112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 11102112092 and 11102112101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3811083 + ... + 3813994.

Almost surely, 2^11102112112 is an apocalyptic number.

It is an amenable number.

11102112112 is an abundant number, since it is smaller than the sum of its proper divisors (15372158704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11102112112 is a wasteful number, since it uses less digits than its factorization.

11102112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7625105 (or 7625099 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11102112112 its reverse (21121120111), we get a palindrome (32223232223).

It can be divided in two parts, 11102112 and 112, that added together give a square (11102224 = 3332²).

The spelling of 11102112112 in words is "eleven billion, one hundred two million, one hundred twelve thousand, one hundred twelve".