112101220010120 has 192 divisors, whose sum is σ = 295071452166960. Its totient is φ = 38167398973440.

The previous prime is 112101220010119. The next prime is 112101220010179. The reversal of 112101220010120 is 21010022101211.

It can be written as a sum of positive squares in 8 ways, for example, as 42200952243076 + 69900267767044 = 6496226^2 + 8360638^2 .

It is a junction number, because it is equal to n+sod(n) for n = 112101220010095 and 112101220010104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12350414 + ... + 19409666.

Almost surely, 2^{112101220010120} is an apocalyptic number.

112101220010120 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 112101220010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147535726083480).

112101220010120 is an abundant number, since it is smaller than the sum of its proper divisors (182970232156840).

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

112101220010120 is a wasteful number, since it uses less digits than its factorization.

112101220010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7059496 (or 7059481 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112101220010120 its reverse (21010022101211), we get a palindrome (133111242111331).

The spelling of 112101220010120 in words is "one hundred twelve trillion, one hundred one billion, two hundred twenty million, ten thousand, one hundred twenty".