11012000210200 has 288 divisors, whose sum is σ = 28443934471680. Its totient is φ = 3961485792000.

The previous prime is 11012000210153. The next prime is 11012000210203. The reversal of 11012000210200 is 201200021011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012000210203) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3706494715 + ... + 3706497685.

It is an arithmetic number, because the mean of its divisors is an integer number (98763661360).

Almost surely, 2^{11012000210200} is an apocalyptic number.

11012000210200 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 11012000210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14221967235840).

11012000210200 is an abundant number, since it is smaller than the sum of its proper divisors (17431934261480).

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

11012000210200 is a wasteful number, since it uses less digits than its factorization.

11012000210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4599 (or 4579 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11012000210200 its reverse (201200021011), we get a palindrome (11213200231211).

The spelling of 11012000210200 in words is "eleven trillion, twelve billion, two hundred ten thousand, two hundred".