112002110201688 has 256 divisors, whose sum is σ = 343230798643200. Its totient is φ = 29742038576640.

The previous prime is 112002110201587. The next prime is 112002110201689. The reversal of 112002110201688 is 886102011200211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112002110201689) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4126358245 + ... + 4126385387.

It is an arithmetic number, because the mean of its divisors is an integer number (1340745307200).

Almost surely, 2^{112002110201688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112002110201688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171615399321600).

112002110201688 is an abundant number, since it is smaller than the sum of its proper divisors (231228688441512).

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

112002110201688 is a wasteful number, since it uses less digits than its factorization.

112002110201688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51622 (or 51618 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 33.

Adding to 112002110201688 its reverse (886102011200211), we get a palindrome (998104121401899).

The spelling of 112002110201688 in words is "one hundred twelve trillion, two billion, one hundred ten million, two hundred one thousand, six hundred eighty-eight".