112003220231100 has 864 divisors, whose sum is σ = 399380847989760. Its totient is φ = 26013270528000.

The previous prime is 112003220231093. The next prime is 112003220231131. The reversal of 112003220231100 is 1132022300211.

112003220231100 is a `hidden beast` number, since 1 + 1 + 200 + 3 + 220 + 231 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 24784954641 + ... + 24784959159.

It is an arithmetic number, because the mean of its divisors is an integer number (462246351840).

Almost surely, 2^{112003220231100} is an apocalyptic number.

112003220231100 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 112003220231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199690423994880).

112003220231100 is an abundant number, since it is smaller than the sum of its proper divisors (287377627758660).

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

112003220231100 is a wasteful number, since it uses less digits than its factorization.

112003220231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5611 (or 5601 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112003220231100 its reverse (1132022300211), we get a palindrome (113135242531311).

The spelling of 112003220231100 in words is "one hundred twelve trillion, three billion, two hundred twenty million, two hundred thirty-one thousand, one hundred".