112101232122 has 128 divisors (see below), whose sum is σ = 283807825920. Its totient is φ = 32466582720.

The previous prime is 112101232081. The next prime is 112101232123. The reversal of 112101232122 is 221232101211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112101232095 and 112101232104.

It is not an unprimeable number, because it can be changed into a prime (112101232123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22034263 + ... + 22039349.

It is an arithmetic number, because the mean of its divisors is an integer number (2217248640).

Almost surely, 2^112101232122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112101232122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141903912960).

112101232122 is an abundant number, since it is smaller than the sum of its proper divisors (171706593798).

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

112101232122 is a wasteful number, since it uses less digits than its factorization.

112101232122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6745 (or 6739 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112101232122 its reverse (221232101211), we get a palindrome (333333333333).

The spelling of 112101232122 in words is "one hundred twelve billion, one hundred one million, two hundred thirty-two thousand, one hundred twenty-two".