112102442041100 has 288 divisors, whose sum is σ = 288779636920320. Its totient is φ = 36980070819840.

The previous prime is 112102442041021. The next prime is 112102442041103. The reversal of 112102442041100 is 1140244201211.

It is not an unprimeable number, because it can be changed into a prime (112102442041103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 464131166 + ... + 464372634.

It is an arithmetic number, because the mean of its divisors is an integer number (1002707072640).

Almost surely, 2^{112102442041100} is an apocalyptic number.

112102442041100 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 112102442041100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144389818460160).

112102442041100 is an abundant number, since it is smaller than the sum of its proper divisors (176677194879220).

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

112102442041100 is a wasteful number, since it uses less digits than its factorization.

112102442041100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241777 (or 241770 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 112102442041100 its reverse (1140244201211), we get a palindrome (113242686242311).

The spelling of 112102442041100 in words is "one hundred twelve trillion, one hundred two billion, four hundred forty-two million, forty-one thousand, one hundred".