212121010100120 has 128 divisors (see below), whose sum is σ = 548079019488000. Its totient is φ = 73073158433280.

The previous prime is 212121010100047. The next prime is 212121010100179. The reversal of 212121010100120 is 21001010121212.

It is a super-3 number, since 3×212121010100120³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 212121010100095 and 212121010100104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319178894 + ... + 319842786.

It is an arithmetic number, because the mean of its divisors is an integer number (4281867339750).

Almost surely, 2^{212121010100120} is an apocalyptic number.

212121010100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212121010100120 is an abundant number, since it is smaller than the sum of its proper divisors (335958009387880).

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

212121010100120 is a wasteful number, since it uses less digits than its factorization.

212121010100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702153 (or 702149 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212121010100120 its reverse (21001010121212), we get a palindrome (233122020221332).

The spelling of 212121010100120 in words is "two hundred twelve trillion, one hundred twenty-one billion, ten million, one hundred thousand, one hundred twenty".