11000211100200 has 288 divisors, whose sum is σ = 42274797364800. Its totient is φ = 2511062138880.

The previous prime is 11000211100187. The next prime is 11000211100211. The reversal of 11000211100200 is 200111200011.

It is a happy number.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9121759 + ... + 10257041.

It is an arithmetic number, because the mean of its divisors is an integer number (146787490850).

Almost surely, 2^{11000211100200} is an apocalyptic number.

11000211100200 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 11000211100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21137398682400).

11000211100200 is an abundant number, since it is smaller than the sum of its proper divisors (31274586264600).

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

11000211100200 is a wasteful number, since it uses less digits than its factorization.

11000211100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136081 (or 1136069 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11000211100200 its reverse (200111200011), we get a palindrome (11200322300211).

The spelling of 11000211100200 in words is "eleven trillion, two hundred eleven million, one hundred thousand, two hundred".