11101242221200 has 120 divisors (see below), whose sum is σ = 27290594404008. Its totient is φ = 4338013655040.

The previous prime is 11101242221161. The next prime is 11101242221213. The reversal of 11101242221200 is 212224210111.

It can be written as a sum of positive squares in 12 ways, for example, as 987010458256 + 10114231762944 = 993484^2 + 3180288^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3815902 + ... + 6063298.

Almost surely, 2^{11101242221200} is an apocalyptic number.

11101242221200 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 11101242221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13645297202004).

11101242221200 is an abundant number, since it is smaller than the sum of its proper divisors (16189352182808).

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

11101242221200 is a wasteful number, since it uses less digits than its factorization.

11101242221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247701 (or 2247690 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 11101242221200 its reverse (212224210111), we get a palindrome (11313466431311).

The spelling of 11101242221200 in words is "eleven trillion, one hundred one billion, two hundred forty-two million, two hundred twenty-one thousand, two hundred".