11222111111100 has 576 divisors, whose sum is σ = 36098322892800. Its totient is φ = 2680667136000.

The previous prime is 11222111111089. The next prime is 11222111111191. The reversal of 11222111111100 is 111111122211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 11222111111100.

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, 2343307506 + ... + 2343312294.

Almost surely, 2^{11222111111100} is an apocalyptic number.

11222111111100 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 11222111111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18049161446400).

11222111111100 is an abundant number, since it is smaller than the sum of its proper divisors (24876211781700).

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

11222111111100 is a wasteful number, since it uses less digits than its factorization.

11222111111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5174 (or 5167 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 11222111111100 its reverse (111111122211), we get a palindrome (11333222233311).

It can be divided in two parts, 112221111 and 11100, that added together give a palindrome (112232211).

The spelling of 11222111111100 in words is "eleven trillion, two hundred twenty-two billion, one hundred eleven million, one hundred eleven thousand, one hundred".