212102112021120 has 256 divisors, whose sum is σ = 783855632851200. Its totient is φ = 54101408182272.

The previous prime is 212102112021109. The next prime is 212102112021187. The reversal of 212102112021120 is 21120211201212.

212102112021120 is a `hidden beast` number, since 21 + 210 + 211 + 202 + 1 + 1 + 20 = 666.

It is a super-2 number, since 2×212102112021120² (a number of 29 digits) contains 22 as substring.

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 = 212102112021093 and 212102112021102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266437947 + ... + 267232826.

It is an arithmetic number, because the mean of its divisors is an integer number (3061936065825).

Almost surely, 2^{212102112021120} is an apocalyptic number.

212102112021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102112021120 is an abundant number, since it is smaller than the sum of its proper divisors (571753520830080).

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

212102112021120 is a wasteful number, since it uses less digits than its factorization.

212102112021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533670824 (or 533670806 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212102112021120 its reverse (21120211201212), we get a palindrome (233222323222332).

The spelling of 212102112021120 in words is "two hundred twelve trillion, one hundred two billion, one hundred twelve million, twenty-one thousand, one hundred twenty".