112001112100 has 72 divisors (see below), whose sum is σ = 251933875200. Its totient is φ = 43173580800.

The previous prime is 112001112079. The next prime is 112001112103. The reversal of 112001112100 is 1211100211.

It is a super-2 number, since 2×112001112100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (112001112103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 665316 + ... + 816484.

It is an arithmetic number, because the mean of its divisors is an integer number (3499081600).

Almost surely, 2^112001112100 is an apocalyptic number.

112001112100 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 112001112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125966937600).

112001112100 is an abundant number, since it is smaller than the sum of its proper divisors (139932763100).

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

112001112100 is a wasteful number, since it uses less digits than its factorization.

112001112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151453 (or 151446 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 112001112100 its reverse (1211100211), we get a palindrome (113212212311).

The spelling of 112001112100 in words is "one hundred twelve billion, one million, one hundred twelve thousand, one hundred".