111100002012 has 72 divisors (see below), whose sum is σ = 297637363296. Its totient is φ = 34821909504.

The previous prime is 111100002007. The next prime is 111100002059. The reversal of 111100002012 is 210200001111.

It is a happy number.

111100002012 is digitally balanced in base 3, 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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 111100001985 and 111100002003.

It is a congruent number.

It is an unprimeable number.

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, 565168 + ... + 735944.

It is an arithmetic number, because the mean of its divisors is an integer number (4133852268).

Almost surely, 2^111100002012 is an apocalyptic number.

111100002012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111100002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148818681648).

111100002012 is an abundant number, since it is smaller than the sum of its proper divisors (186537361284).

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

111100002012 is a wasteful number, since it uses less digits than its factorization.

111100002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171867 (or 171862 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 111100002012 its reverse (210200001111), we get a palindrome (321300003123).

Subtracting 111100002012 from its reverse (210200001111), we obtain a palindrome (99099999099).

The spelling of 111100002012 in words is "one hundred eleven billion, one hundred million, two thousand, twelve".