210200231233200 has 480 divisors, whose sum is σ = 756727255355904. Its totient is φ = 49487862251520.

The previous prime is 210200231233171. The next prime is 210200231233327. The reversal of 210200231233200 is 2332132002012.

It is a happy number.

210200231233200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8124295464 + ... + 8124321336.

Almost surely, 2^{210200231233200} is an apocalyptic number.

210200231233200 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 210200231233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378363627677952).

210200231233200 is an abundant number, since it is smaller than the sum of its proper divisors (546527024122704).

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

210200231233200 is a wasteful number, since it uses less digits than its factorization.

210200231233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48573 (or 48562 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 210200231233200 its reverse (2332132002012), we get a palindrome (212532363235212).

The spelling of 210200231233200 in words is "two hundred ten trillion, two hundred billion, two hundred thirty-one million, two hundred thirty-three thousand, two hundred".