200210000100 has 216 divisors, whose sum is σ = 657266098944. Its totient is φ = 46969824000.

The previous prime is 200210000027. The next prime is 200210000101. The reversal of 200210000100 is 1000012002.

It is a happy number.

200210000100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (200210000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1036342 + ... + 1214258.

Almost surely, 2^200210000100 is an apocalyptic number.

200210000100 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 200210000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328633049472).

200210000100 is an abundant number, since it is smaller than the sum of its proper divisors (457056098844).

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

200210000100 is a wasteful number, since it uses less digits than its factorization.

200210000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177987 (or 177969 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 200210000100 its reverse (1000012002), we get a palindrome (201210012102).

The spelling of 200210000100 in words is "two hundred billion, two hundred ten million, one hundred", and thus it is an aban number.