200210221220100 has 864 divisors, whose sum is σ = 726097854763008. Its totient is φ = 41477204736000.

The previous prime is 200210221220081. The next prime is 200210221220167. The reversal of 200210221220100 is 1022122012002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 200210221220100.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 73851057745 + ... + 73851060455.

Almost surely, 2^{200210221220100} is an apocalyptic number.

200210221220100 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 200210221220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363048927381504).

200210221220100 is an abundant number, since it is smaller than the sum of its proper divisors (525887633542908).

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

200210221220100 is a wasteful number, since it uses less digits than its factorization.

200210221220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3597 (or 3529 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 200210221220100 its reverse (1022122012002), we get a palindrome (201232343232102).

The spelling of 200210221220100 in words is "two hundred trillion, two hundred ten billion, two hundred twenty-one million, two hundred twenty thousand, one hundred".