200210012000100 has 864 divisors, whose sum is σ = 660355150815360. Its totient is φ = 50690701393920.

The previous prime is 200210012000087. The next prime is 200210012000111. The reversal of 200210012000100 is 1000210012002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 173642681124 + ... + 173642682276.

Almost surely, 2^{200210012000100} is an apocalyptic number.

200210012000100 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 200210012000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330177575407680).

200210012000100 is an abundant number, since it is smaller than the sum of its proper divisors (460145138815260).

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

200210012000100 is a wasteful number, since it uses less digits than its factorization.

200210012000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200210012000100 its reverse (1000210012002), we get a palindrome (201210222012102).

The spelling of 200210012000100 in words is "two hundred trillion, two hundred ten billion, twelve million, one hundred", and thus it is an aban number.