112122011021020 has 384 divisors, whose sum is σ = 322076486172672. Its totient is φ = 31656478233600.

The previous prime is 112122011021011. The next prime is 112122011021057. The reversal of 112122011021020 is 20120110221211.

It is a junction number, because it is equal to n+sod(n) for n = 112122011020985 and 112122011021003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 352613505 + ... + 352931335.

It is an arithmetic number, because the mean of its divisors is an integer number (838740849408).

Almost surely, 2^{112122011021020} is an apocalyptic number.

112122011021020 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 112122011021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161038243086336).

112122011021020 is an abundant number, since it is smaller than the sum of its proper divisors (209954475151652).

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

112122011021020 is a wasteful number, since it uses less digits than its factorization.

112122011021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318201 (or 318199 counting only the distinct ones).

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

Adding to 112122011021020 its reverse (20120110221211), we get a palindrome (132242121242231).

It can be divided in two parts, 11212201 and 1021020, that added together give a palindrome (12233221).

The spelling of 112122011021020 in words is "one hundred twelve trillion, one hundred twenty-two billion, eleven million, twenty-one thousand, twenty".