210001200224200 has 384 divisors, whose sum is σ = 614963538028800. Its totient is φ = 64785162240000.

The previous prime is 210001200224129. The next prime is 210001200224209. The reversal of 210001200224200 is 2422002100012.

It is not an unprimeable number, because it can be changed into a prime (210001200224209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5003700816 + ... + 5003742784.

It is an arithmetic number, because the mean of its divisors is an integer number (1601467546950).

Almost surely, 2^{210001200224200} is an apocalyptic number.

210001200224200 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 210001200224200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307481769014400).

210001200224200 is an abundant number, since it is smaller than the sum of its proper divisors (404962337804600).

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

210001200224200 is a wasteful number, since it uses less digits than its factorization.

210001200224200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45321 (or 45312 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 210001200224200 its reverse (2422002100012), we get a palindrome (212423202324212).

The spelling of 210001200224200 in words is "two hundred ten trillion, one billion, two hundred million, two hundred twenty-four thousand, two hundred".