11012000100200 has 192 divisors, whose sum is σ = 28012165588800. Its totient is φ = 3992662169600.

The previous prime is 11012000100197. The next prime is 11012000100203. The reversal of 11012000100200 is 200100021011.

It is an interprime number because it is at equal distance from previous prime (11012000100197) and next prime (11012000100203).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (11012000100203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1335917279 + ... + 1335925521.

It is an arithmetic number, because the mean of its divisors is an integer number (145896695775).

Almost surely, 2^{11012000100200} is an apocalyptic number.

11012000100200 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 11012000100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14006082794400).

11012000100200 is an abundant number, since it is smaller than the sum of its proper divisors (17000165488600).

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

11012000100200 is a wasteful number, since it uses less digits than its factorization.

11012000100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9972 (or 9963 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11012000100200 its reverse (200100021011), we get a palindrome (11212100121211).

The spelling of 11012000100200 in words is "eleven trillion, twelve billion, one hundred thousand, two hundred".