201210120210120 has 96 divisors (see below), whose sum is σ = 702182256264000. Its totient is φ = 45990884618112.

The previous prime is 201210120210097. The next prime is 201210120210133. The reversal of 201210120210120 is 21012021012102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201210120210120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17109698220 + ... + 17109709979.

It is an arithmetic number, because the mean of its divisors is an integer number (7314398502750).

Almost surely, 2^{201210120210120} is an apocalyptic number.

201210120210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201210120210120 is an abundant number, since it is smaller than the sum of its proper divisors (500972136053880).

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

201210120210120 is a wasteful number, since it uses less digits than its factorization.

201210120210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34219408227 (or 34219408216 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201210120210120 its reverse (21012021012102), we get a palindrome (222222141222222).

The spelling of 201210120210120 in words is "two hundred one trillion, two hundred ten billion, one hundred twenty million, two hundred ten thousand, one hundred twenty".