11101001221100 has 144 divisors (see below), whose sum is σ = 27969548376000. Its totient is φ = 3745826104320.

The previous prime is 11101001221007. The next prime is 11101001221103. The reversal of 11101001221100 is 112210010111.

It is a super-2 number, since 2×11101001221100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11101001221103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10880474 + ... + 11856926.

Almost surely, 2^{11101001221100} is an apocalyptic number.

11101001221100 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 11101001221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13984774188000).

11101001221100 is an abundant number, since it is smaller than the sum of its proper divisors (16868547154900).

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

11101001221100 is a wasteful number, since it uses less digits than its factorization.

11101001221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976732 (or 976725 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11101001221100 its reverse (112210010111), we get a palindrome (11213211231211).

The spelling of 11101001221100 in words is "eleven trillion, one hundred one billion, one million, two hundred twenty-one thousand, one hundred".