11111220012100 has 72 divisors (see below), whose sum is σ = 25978443523200. Its totient is φ = 4100648753280.

The previous prime is 11111220012091. The next prime is 11111220012119. The reversal of 11111220012100 is 121002211111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 692709 + ... + 4764691.

It is an arithmetic number, because the mean of its divisors is an integer number (360811715600).

Almost surely, 2^{11111220012100} is an apocalyptic number.

11111220012100 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 11111220012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12989221761600).

11111220012100 is an abundant number, since it is smaller than the sum of its proper divisors (14867223511100).

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

11111220012100 is a wasteful number, since it uses less digits than its factorization.

11111220012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4074109 (or 4074102 counting only the distinct ones).

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

Adding to 11111220012100 its reverse (121002211111), we get a palindrome (11232222223211).

The spelling of 11111220012100 in words is "eleven trillion, one hundred eleven billion, two hundred twenty million, twelve thousand, one hundred".