11100221112100 has 72 divisors (see below), whose sum is σ = 24245517015720. Its totient is φ = 4410967941120.

The previous prime is 11100221112089. The next prime is 11100221112107. The reversal of 11100221112100 is 121112200111.

It is a happy number.

11100221112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 1765778538276 + 9334442573824 = 1328826^2 + 3055232^2 .

It is not an unprimeable number, because it can be changed into a prime (11100221112107) 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, 85924356 + ... + 86053444.

It is an arithmetic number, because the mean of its divisors is an integer number (336743291885).

Almost surely, 2^{11100221112100} is an apocalyptic number.

11100221112100 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 11100221112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12122758507860).

11100221112100 is an abundant number, since it is smaller than the sum of its proper divisors (13145295903620).

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

11100221112100 is a wasteful number, since it uses less digits than its factorization.

11100221112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134737 (or 134730 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11100221112100 its reverse (121112200111), we get a palindrome (11221333312211).

The spelling of 11100221112100 in words is "eleven trillion, one hundred billion, two hundred twenty-one million, one hundred twelve thousand, one hundred".