200010210120 has 256 divisors, whose sum is σ = 762274828800. Its totient is φ = 45696752640.

The previous prime is 200010210053. The next prime is 200010210121. The reversal of 200010210120 is 21012010002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (200010210121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24044202 + ... + 24052518.

It is an arithmetic number, because the mean of its divisors is an integer number (2977636050).

Almost surely, 2^200010210120 is an apocalyptic number.

200010210120 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 200010210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381137414400).

200010210120 is an abundant number, since it is smaller than the sum of its proper divisors (562264618680).

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

200010210120 is a wasteful number, since it uses less digits than its factorization.

200010210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11525 (or 11515 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200010210120 its reverse (21012010002), we get a palindrome (221022220122).

The spelling of 200010210120 in words is "two hundred billion, ten million, two hundred ten thousand, one hundred twenty".