200210010000 has 1600 divisors, whose sum is σ = 890283018240. Its totient is φ = 37416960000.

The previous prime is 200210009947. The next prime is 200210010001. The reversal of 200210010000 is 10012002.

It is a happy number.

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 (200210010001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1771769944 + ... + 1771770056.

Almost surely, 2^200210010000 is an apocalyptic number.

200210010000 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 200210010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445141509120).

200210010000 is an abundant number, since it is smaller than the sum of its proper divisors (690073008240).

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

200210010000 is a wasteful number, since it uses less digits than its factorization.

200210010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 213 counting only the distinct ones).

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

Adding to 200210010000 its reverse (10012002), we get a palindrome (200220022002).

The spelling of 200210010000 in words is "two hundred billion, two hundred ten million, ten thousand".