212121100112120 has 64 divisors (see below), whose sum is σ = 478588786917120. Its totient is φ = 84614464041984.

The previous prime is 212121100112113. The next prime is 212121100112143. The reversal of 212121100112120 is 21211001121212.

It is a super-3 number, since 3×212121100112120³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196061369 + ... + 197140311.

It is an arithmetic number, because the mean of its divisors is an integer number (7477949795580).

Almost surely, 2^{212121100112120} is an apocalyptic number.

212121100112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212121100112120 is an abundant number, since it is smaller than the sum of its proper divisors (266467686805000).

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

212121100112120 is a wasteful number, since it uses less digits than its factorization.

212121100112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092504 (or 1092500 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 212121100112120 its reverse (21211001121212), we get a palindrome (233332101233332).

The spelling of 212121100112120 in words is "two hundred twelve trillion, one hundred twenty-one billion, one hundred million, one hundred twelve thousand, one hundred twenty".