201000120200 has 384 divisors, whose sum is σ = 534418473600. Its totient is φ = 69672960000.

The previous prime is 201000120199. The next prime is 201000120283. The reversal of 201000120200 is 2021000102.

201000120200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

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 95 ways as a sum of consecutive naturals, for example, 1041451304 + ... + 1041451496.

It is an arithmetic number, because the mean of its divisors is an integer number (1391714775).

Almost surely, 2^201000120200 is an apocalyptic number.

201000120200 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 201000120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267209236800).

201000120200 is an abundant number, since it is smaller than the sum of its proper divisors (333418353400).

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

201000120200 is a wasteful number, since it uses less digits than its factorization.

201000120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 464 counting only the distinct ones).

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

Adding to 201000120200 its reverse (2021000102), we get a palindrome (203021120302).

The spelling of 201000120200 in words is "two hundred one billion, one hundred twenty thousand, two hundred".