111100211102112 has 192 divisors, whose sum is σ = 299012533585920. Its totient is φ = 36100417941504.

The previous prime is 111100211102093. The next prime is 111100211102119. The reversal of 111100211102112 is 211201112001111.

It is a junction number, because it is equal to n+sod(n) for n = 111100211102091 and 111100211102100.

It is not an unprimeable number, because it can be changed into a prime (111100211102119) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15389968839 + ... + 15389976057.

It is an arithmetic number, because the mean of its divisors is an integer number (1557356945760).

Almost surely, 2^{111100211102112} is an apocalyptic number.

111100211102112 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 111100211102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149506266792960).

111100211102112 is an abundant number, since it is smaller than the sum of its proper divisors (187912322483808).

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

111100211102112 is a wasteful number, since it uses less digits than its factorization.

111100211102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14155 (or 14147 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 111100211102112 its reverse (211201112001111), we get a palindrome (322301323103223).

The spelling of 111100211102112 in words is "one hundred eleven trillion, one hundred billion, two hundred eleven million, one hundred two thousand, one hundred twelve".