11000112102112 has 96 divisors (see below), whose sum is σ = 25171172941824. Its totient is φ = 4634251660800.

The previous prime is 11000112102101. The next prime is 11000112102139. The reversal of 11000112102112 is 21120121100011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11000112102092 and 11000112102101.

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 15 ways as a sum of consecutive naturals, for example, 22481187 + ... + 22965277.

It is an arithmetic number, because the mean of its divisors is an integer number (262199718144).

Almost surely, 2^{11000112102112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000112102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12585586470912).

11000112102112 is an abundant number, since it is smaller than the sum of its proper divisors (14171060839712).

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

11000112102112 is a wasteful number, since it uses less digits than its factorization.

11000112102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485832 (or 485824 counting only the distinct ones).

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

Adding to 11000112102112 its reverse (21120121100011), we get a palindrome (32120233202123).

It can be divided in two parts, 11000112 and 102112, that added together give a square (11102224 = 3332²).

The spelling of 11000112102112 in words is "eleven trillion, one hundred twelve million, one hundred two thousand, one hundred twelve".