11100211100200 has 96 divisors (see below), whose sum is σ = 26066617533720. Its totient is φ = 4395600000000.

The previous prime is 11100211100129. The next prime is 11100211100201. The reversal of 11100211100200 is 200111200111.

It can be written as a sum of positive squares in 12 ways, for example, as 7963763016196 + 3136448084004 = 2822014^2 + 1771002^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11100211100201) 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, 199972450 + ... + 200027950.

Almost surely, 2^{11100211100200} is an apocalyptic number.

11100211100200 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 11100211100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13033308766860).

11100211100200 is an abundant number, since it is smaller than the sum of its proper divisors (14966406433520).

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

11100211100200 is a wasteful number, since it uses less digits than its factorization.

11100211100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65519 (or 65510 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11100211100200 its reverse (200111200111), we get a palindrome (11300322300311).

It can be divided in two parts, 111002 and 11100200, that multiplied together give a square (1232144400400 = 1110020²).

The spelling of 11100211100200 in words is "eleven trillion, one hundred billion, two hundred eleven million, one hundred thousand, two hundred".