112010110200000 has 672 divisors, whose sum is σ = 416545404387840. Its totient is φ = 29509372800000.

The previous prime is 112010110199909. The next prime is 112010110200007. The reversal of 112010110200000 is 2011010211.

It is a happy number.

It is a super-2 number, since 2×112010110200000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (112010110200007) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 448075045 + ... + 448324955.

It is an arithmetic number, because the mean of its divisors is an integer number (619859232720).

Almost surely, 2^{112010110200000} is an apocalyptic number.

112010110200000 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 112010110200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208272702193920).

112010110200000 is an abundant number, since it is smaller than the sum of its proper divisors (304535294187840).

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

112010110200000 is an frugal number, since it uses more digits than its factorization.

112010110200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250040 (or 250004 counting only the distinct ones).

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

Adding to 112010110200000 its reverse (2011010211), we get a palindrome (112012121210211).

The spelling of 112010110200000 in words is "one hundred twelve trillion, ten billion, one hundred ten million, two hundred thousand".