212101122210120 has 384 divisors, whose sum is σ = 811612818656640. Its totient is φ = 47359324753920.

The previous prime is 212101122210097. The next prime is 212101122210233. The reversal of 212101122210120 is 21012221101212.

212101122210120 is a `hidden beast` number, since 2 + 1 + 210 + 1 + 122 + 210 + 120 = 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 = 212101122210093 and 212101122210102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19018627 + ... + 28034093.

It is an arithmetic number, because the mean of its divisors is an integer number (2113575048585).

Almost surely, 2^{212101122210120} is an apocalyptic number.

212101122210120 is a gapful number since it is divisible by the number (20) 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 212101122210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405806409328320).

212101122210120 is an abundant number, since it is smaller than the sum of its proper divisors (599511696446520).

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

212101122210120 is a wasteful number, since it uses less digits than its factorization.

212101122210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9015965 (or 9015958 counting only the distinct ones).

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

Adding to 212101122210120 its reverse (21012221101212), we get a palindrome (233113343311332).

The spelling of 212101122210120 in words is "two hundred twelve trillion, one hundred one billion, one hundred twenty-two million, two hundred ten thousand, one hundred twenty".