112001021022220 has 384 divisors, whose sum is σ = 275941467244800. Its totient is φ = 37804376064000.

The previous prime is 112001021022197. The next prime is 112001021022269. The reversal of 112001021022220 is 22220120100211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112001021022194 and 112001021022203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3312740676 + ... + 3312774484.

It is an arithmetic number, because the mean of its divisors is an integer number (718597570950).

Almost surely, 2^{112001021022220} is an apocalyptic number.

112001021022220 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 112001021022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137970733622400).

112001021022220 is an abundant number, since it is smaller than the sum of its proper divisors (163940446222580).

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

112001021022220 is a wasteful number, since it uses less digits than its factorization.

112001021022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34109 (or 34107 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 112001021022220 its reverse (22220120100211), we get a palindrome (134221141122431).

The spelling of 112001021022220 in words is "one hundred twelve trillion, one billion, twenty-one million, twenty-two thousand, two hundred twenty".