112004013100 has 144 divisors (see below), whose sum is σ = 290537404416. Its totient is φ = 36644256000.

The previous prime is 112004013097. The next prime is 112004013131. The reversal of 112004013100 is 1310400211.

It is a super-2 number, since 2×112004013100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6931030 + ... + 6947170.

It is an arithmetic number, because the mean of its divisors is an integer number (2017620864).

Almost surely, 2^112004013100 is an apocalyptic number.

112004013100 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 112004013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145268702208).

112004013100 is an abundant number, since it is smaller than the sum of its proper divisors (178533391316).

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

112004013100 is a wasteful number, since it uses less digits than its factorization.

112004013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16616 (or 16609 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 112004013100 its reverse (1310400211), we get a palindrome (113314413311).

The spelling of 112004013100 in words is "one hundred twelve billion, four million, thirteen thousand, one hundred".