112002100112 has 80 divisors (see below), whose sum is σ = 255155490432. Its totient is φ = 46636508160.

The previous prime is 112002100097. The next prime is 112002100139. The reversal of 112002100112 is 211001200211.

It is a junction number, because it is equal to n+sod(n) for n = 112002100093 and 112002100102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445562 + ... + 650022.

Almost surely, 2^112002100112 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 112002100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127577745216).

112002100112 is an abundant number, since it is smaller than the sum of its proper divisors (143153390320).

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

112002100112 is a wasteful number, since it uses less digits than its factorization.

112002100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204616 (or 204610 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 112002100112 its reverse (211001200211), we get a palindrome (323003300323).

The spelling of 112002100112 in words is "one hundred twelve billion, two million, one hundred thousand, one hundred twelve".