10211200211200 has 216 divisors, whose sum is σ = 26100939432960. Its totient is φ = 3951007334400.

The previous prime is 10211200211141. The next prime is 10211200211209. The reversal of 10211200211200 is 211200211201.

It is not an unprimeable number, because it can be changed into a prime (10211200211209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 517615737 + ... + 517635463.

It is an arithmetic number, because the mean of its divisors is an integer number (120837682560).

Almost surely, 2^{10211200211200} is an apocalyptic number.

10211200211200 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 10211200211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13050469716480).

10211200211200 is an abundant number, since it is smaller than the sum of its proper divisors (15889739221760).

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

10211200211200 is a wasteful number, since it uses less digits than its factorization.

10211200211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22393 (or 22374 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10211200211200 its reverse (211200211201), we get a palindrome (10422400422401).

Subtracting from 10211200211200 its reverse (211200211201), we obtain a palindrome (9999999999999).

The spelling of 10211200211200 in words is "ten trillion, two hundred eleven billion, two hundred million, two hundred eleven thousand, two hundred".