200100212200 has 144 divisors (see below), whose sum is σ = 542152353600. Its totient is φ = 68483721600.

The previous prime is 200100212197. The next prime is 200100212203. The reversal of 200100212200 is 2212001002.

It is an interprime number because it is at equal distance from previous prime (200100212197) and next prime (200100212203).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (200100212203) 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 35 ways as a sum of consecutive naturals, for example, 5577921 + ... + 5613679.

It is an arithmetic number, because the mean of its divisors is an integer number (3764946900).

Almost surely, 2^200100212200 is an apocalyptic number.

200100212200 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 200100212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271076176800).

200100212200 is an abundant number, since it is smaller than the sum of its proper divisors (342052141400).

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

200100212200 is a wasteful number, since it uses less digits than its factorization.

200100212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36360 (or 36344 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200100212200 its reverse (2212001002), we get a palindrome (202312213202).

The spelling of 200100212200 in words is "two hundred billion, one hundred million, two hundred twelve thousand, two hundred".