212101001200120 has 256 divisors, whose sum is σ = 534308256921600. Its totient is φ = 75304336711680.

The previous prime is 212101001200043. The next prime is 212101001200163. The reversal of 212101001200120 is 21002100101212.

212101001200120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 212101001200120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3947433655 + ... + 3947487385.

It is an arithmetic number, because the mean of its divisors is an integer number (2087141628600).

Almost surely, 2^{212101001200120} is an apocalyptic number.

212101001200120 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 212101001200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267154128460800).

212101001200120 is an abundant number, since it is smaller than the sum of its proper divisors (322207255721480).

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

212101001200120 is a wasteful number, since it uses less digits than its factorization.

212101001200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55158 (or 55154 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212101001200120 its reverse (21002100101212), we get a palindrome (233103101301332).

The spelling of 212101001200120 in words is "two hundred twelve trillion, one hundred one billion, one million, two hundred thousand, one hundred twenty".