112000112100 has 144 divisors (see below), whose sum is σ = 360236318400. Its totient is φ = 29852040960.

The previous prime is 112000112069. The next prime is 112000112129. The reversal of 112000112100 is 1211000211.

It is a happy number.

It is a super-2 number, since 2×112000112100² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6192871 + ... + 6210929.

It is an arithmetic number, because the mean of its divisors is an integer number (2501641100).

Almost surely, 2^112000112100 is an apocalyptic number.

112000112100 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 112000112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180118159200).

112000112100 is an abundant number, since it is smaller than the sum of its proper divisors (248236206300).

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

112000112100 is a wasteful number, since it uses less digits than its factorization.

112000112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20379 (or 20366 counting only the distinct ones).

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

Adding to 112000112100 its reverse (1211000211), we get a palindrome (113211112311).

The spelling of 112000112100 in words is "one hundred twelve billion, one hundred twelve thousand, one hundred".