11222221110100 has 576 divisors, whose sum is σ = 33243616272384. Its totient is φ = 3175200000000.

The previous prime is 11222221110097. The next prime is 11222221110151. The reversal of 11222221110100 is 101112222211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1526621425 + ... + 1526628775.

It is an arithmetic number, because the mean of its divisors is an integer number (57714611584).

Almost surely, 2^{11222221110100} is an apocalyptic number.

11222221110100 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 11222221110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16621808136192).

11222221110100 is an abundant number, since it is smaller than the sum of its proper divisors (22021395162284).

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

11222221110100 is a wasteful number, since it uses less digits than its factorization.

11222221110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7648 (or 7641 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11222221110100 its reverse (101112222211), we get a palindrome (11323333332311).

It can be divided in two parts, 1122222 and 1110100, that added together give a palindrome (2232322).

The spelling of 11222221110100 in words is "eleven trillion, two hundred twenty-two billion, two hundred twenty-one million, one hundred ten thousand, one hundred".