212121100321120 has 24 divisors (see below), whose sum is σ = 501136099509024. Its totient is φ = 84848440128384.

The previous prime is 212121100321063. The next prime is 212121100321129. The reversal of 212121100321120 is 21123001121212.

It is a super-3 number, since 3×212121100321120³ (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 not an unprimeable number, because it can be changed into a prime (212121100321129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 662878438344 + ... + 662878438663.

It is an arithmetic number, because the mean of its divisors is an integer number (20880670812876).

Almost surely, 2^{212121100321120} is an apocalyptic number.

212121100321120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212121100321120 is an abundant number, since it is smaller than the sum of its proper divisors (289014999187904).

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

212121100321120 is a wasteful number, since it uses less digits than its factorization.

212121100321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325756877022 (or 1325756877014 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 212121100321120 its reverse (21123001121212), we get a palindrome (233244101442332).

The spelling of 212121100321120 in words is "two hundred twelve trillion, one hundred twenty-one billion, one hundred million, three hundred twenty-one thousand, one hundred twenty".