112001322100 has 72 divisors (see below), whose sum is σ = 254421840960. Its totient is φ = 42715495680.

The previous prime is 112001322079. The next prime is 112001322101. The reversal of 112001322100 is 1223100211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112001322101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 642111 + ... + 797689.

It is an arithmetic number, because the mean of its divisors is an integer number (3533636680).

Almost surely, 2^112001322100 is an apocalyptic number.

112001322100 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 112001322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127210920480).

112001322100 is an abundant number, since it is smaller than the sum of its proper divisors (142420518860).

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

112001322100 is a wasteful number, since it uses less digits than its factorization.

112001322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155929 (or 155922 counting only the distinct ones).

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

Adding to 112001322100 its reverse (1223100211), we get a palindrome (113224422311).

The spelling of 112001322100 in words is "one hundred twelve billion, one million, three hundred twenty-two thousand, one hundred".