112102102111200 has 288 divisors, whose sum is σ = 370047466446336. Its totient is φ = 29471905935360.

The previous prime is 112102102111073. The next prime is 112102102111201. The reversal of 112102102111200 is 2111201201211.

It is a happy number.

It is a super-2 number, since 2×112102102111200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112102102111200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112102102111201) 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, 417367347 + ... + 417635853.

It is an arithmetic number, because the mean of its divisors is an integer number (1284887036272).

Almost surely, 2^{112102102111200} is an apocalyptic number.

112102102111200 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 112102102111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185023733223168).

112102102111200 is an abundant number, since it is smaller than the sum of its proper divisors (257945364335136).

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

112102102111200 is a wasteful number, since it uses less digits than its factorization.

112102102111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270986 (or 270973 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112102102111200 its reverse (2111201201211), we get a palindrome (114213303312411).

The spelling of 112102102111200 in words is "one hundred twelve trillion, one hundred two billion, one hundred two million, one hundred eleven thousand, two hundred".