201200210120 has 256 divisors, whose sum is σ = 577245312000. Its totient is φ = 61388845056.

The previous prime is 201200210093. The next prime is 201200210147. The reversal of 201200210120 is 21012002102.

It is a happy number.

201200210120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201200210093) and next prime (201200210147).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 112842749 + ... + 112844531.

It is an arithmetic number, because the mean of its divisors is an integer number (2254864500).

Almost surely, 2^201200210120 is an apocalyptic number.

201200210120 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 201200210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288622656000).

201200210120 is an abundant number, since it is smaller than the sum of its proper divisors (376045101880).

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

201200210120 is a wasteful number, since it uses less digits than its factorization.

201200210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912 (or 2908 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 201200210120 its reverse (21012002102), we get a palindrome (222212212222).

The spelling of 201200210120 in words is "two hundred one billion, two hundred million, two hundred ten thousand, one hundred twenty".