112101002122120 has 128 divisors (see below), whose sum is σ = 275501865703680. Its totient is φ = 40712934528000.

The previous prime is 112101002122091. The next prime is 112101002122127. The reversal of 112101002122120 is 21221200101211.

It is a junction number, because it is equal to n+sod(n) for n = 112101002122094 and 112101002122103.

It is not an unprimeable number, because it can be changed into a prime (112101002122127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1574615725 + ... + 1574686915.

It is an arithmetic number, because the mean of its divisors is an integer number (2152358325810).

Almost surely, 2^{112101002122120} is an apocalyptic number.

112101002122120 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 112101002122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137750932851840).

112101002122120 is an abundant number, since it is smaller than the sum of its proper divisors (163400863581560).

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

112101002122120 is a wasteful number, since it uses less digits than its factorization.

112101002122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75647 (or 75643 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112101002122120 its reverse (21221200101211), we get a palindrome (133322202223331).

The spelling of 112101002122120 in words is "one hundred twelve trillion, one hundred one billion, two million, one hundred twenty-two thousand, one hundred twenty".