112100212222020 has 1152 divisors, whose sum is σ = 417033804096000. Its totient is φ = 24058909163520.

The previous prime is 112100212222003. The next prime is 112100212222067. The reversal of 112100212222020 is 20222212001211.

It is a happy number.

112100212222020 is a `hidden beast` number, since 1 + 1 + 210 + 0 + 212 + 2 + 220 + 20 = 666.

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 = 112100212221984 and 112100212222002.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7790680986 + ... + 7790695374.

It is an arithmetic number, because the mean of its divisors is an integer number (362008510500).

Almost surely, 2^{112100212222020} is an apocalyptic number.

112100212222020 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 112100212222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208516902048000).

112100212222020 is an abundant number, since it is smaller than the sum of its proper divisors (304933591873980).

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

112100212222020 is a wasteful number, since it uses less digits than its factorization.

112100212222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14693 (or 14688 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112100212222020 its reverse (20222212001211), we get a palindrome (132322424223231).

The spelling of 112100212222020 in words is "one hundred twelve trillion, one hundred billion, two hundred twelve million, two hundred twenty-two thousand, twenty".