111100210111200 has 288 divisors, whose sum is σ = 362521254654720. Its totient is φ = 29553894092800.

The previous prime is 111100210111199. The next prime is 111100210111201. The reversal of 111100210111200 is 2111012001111.

It is an interprime number because it is at equal distance from previous prime (111100210111199) and next prime (111100210111201).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111100210111201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1605668605 + ... + 1605737795.

It is an arithmetic number, because the mean of its divisors is an integer number (1258754356440).

Almost surely, 2^{111100210111200} is an apocalyptic number.

111100210111200 is a gapful number since it is divisible by the number (10) 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 111100210111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181260627327360).

111100210111200 is an abundant number, since it is smaller than the sum of its proper divisors (251421044543520).

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

111100210111200 is a wasteful number, since it uses less digits than its factorization.

111100210111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70850 (or 70837 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 111100210111200 its reverse (2111012001111), we get a palindrome (113211222112311).

The spelling of 111100210111200 in words is "one hundred eleven trillion, one hundred billion, two hundred ten million, one hundred eleven thousand, two hundred".