200210222210100 has 288 divisors, whose sum is σ = 588682426080000. Its totient is φ = 52526165852160.

The previous prime is 200210222210081. The next prime is 200210222210101. The reversal of 200210222210100 is 1012222012002.

It is a super-3 number, since 3×200210222210100³ (a number of 44 digits) contains 333 as substring.

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 200210222210100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200210222210101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16876856769 + ... + 16876868631.

Almost surely, 2^{200210222210100} is an apocalyptic number.

200210222210100 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 200210222210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294341213040000).

200210222210100 is an abundant number, since it is smaller than the sum of its proper divisors (388472203869900).

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

200210222210100 is a wasteful number, since it uses less digits than its factorization.

200210222210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13819 (or 13812 counting only the distinct ones).

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

Adding to 200210222210100 its reverse (1012222012002), we get a palindrome (201222444222102).

The spelling of 200210222210100 in words is "two hundred trillion, two hundred ten billion, two hundred twenty-two million, two hundred ten thousand, one hundred".