200200211212100 has 216 divisors, whose sum is σ = 486697478117760. Its totient is φ = 71401706604800.

The previous prime is 200200211212097. The next prime is 200200211212121. The reversal of 200200211212100 is 1212112002002.

200200211212100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1900119221 + ... + 1900224579.

It is an arithmetic number, because the mean of its divisors is an integer number (2253229065360).

Almost surely, 2^{200200211212100} is an apocalyptic number.

200200211212100 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 200200211212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243348739058880).

200200211212100 is an abundant number, since it is smaller than the sum of its proper divisors (286497266905660).

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

200200211212100 is a wasteful number, since it uses less digits than its factorization.

200200211212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108411 (or 108393 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200200211212100 its reverse (1212112002002), we get a palindrome (201412323214102).

The spelling of 200200211212100 in words is "two hundred trillion, two hundred billion, two hundred eleven million, two hundred twelve thousand, one hundred".