10200211200 has 216 divisors, whose sum is σ = 37403769200. Its totient is φ = 2720010240.

The previous prime is 10200211187. The next prime is 10200211207. The reversal of 10200211200 is 211200201.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200211207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143286 + ... + 202314.

Almost surely, 2^10200211200 is an apocalyptic number.

10200211200 is a gapful number since it is divisible by the number (10) 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 10200211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18701884600).

10200211200 is an abundant number, since it is smaller than the sum of its proper divisors (27203558000).

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

10200211200 is an equidigital number, since it uses as much as digits as its factorization.

10200211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59064 (or 59039 counting only the distinct ones).

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

Adding to 10200211200 its reverse (211200201), we get a palindrome (10411411401).

The spelling of 10200211200 in words is "ten billion, two hundred million, two hundred eleven thousand, two hundred".