200210002102200 has 192 divisors, whose sum is σ = 631719411120000. Its totient is φ = 52441779709440.

The previous prime is 200210002102193. The next prime is 200210002102223. The reversal of 200210002102200 is 2201200012002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6894631 + ... + 21164969.

It is an arithmetic number, because the mean of its divisors is an integer number (3290205266250).

Almost surely, 2^{200210002102200} is an apocalyptic number.

200210002102200 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 200210002102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315859705560000).

200210002102200 is an abundant number, since it is smaller than the sum of its proper divisors (431509409017800).

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

200210002102200 is a wasteful number, since it uses less digits than its factorization.

200210002102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14270774 (or 14270765 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 200210002102200 its reverse (2201200012002), we get a palindrome (202411202114202).

The spelling of 200210002102200 in words is "two hundred trillion, two hundred ten billion, two million, one hundred two thousand, two hundred".