11101021200 has 180 divisors, whose sum is σ = 39565281028. Its totient is φ = 2880230400.

The previous prime is 11101021193. The next prime is 11101021213. The reversal of 11101021200 is 212010111.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1087416576 + 10013604624 = 32976^2 + 100068^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 91530 + ... + 174870.

Almost surely, 2^11101021200 is an apocalyptic number.

11101021200 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 11101021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19782640514).

11101021200 is an abundant number, since it is smaller than the sum of its proper divisors (28464259828).

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

11101021200 is a wasteful number, since it uses less digits than its factorization.

11101021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83402 (or 83388 counting only the distinct ones).

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

Adding to 11101021200 its reverse (212010111), we get a palindrome (11313031311).

The spelling of 11101021200 in words is "eleven billion, one hundred one million, twenty-one thousand, two hundred".