11220111122100 has 144 divisors (see below), whose sum is σ = 32841139699200. Its totient is φ = 2957415822720.

The previous prime is 11220111122093. The next prime is 11220111122107. The reversal of 11220111122100 is 122111102211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11220111122093) and next prime (11220111122107).

It is a super-2 number, since 2×11220111122100² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11220111122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220111122107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8873241 + ... + 10058559.

Almost surely, 2^{11220111122100} is an apocalyptic number.

11220111122100 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 11220111122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16420569849600).

11220111122100 is an abundant number, since it is smaller than the sum of its proper divisors (21621028577100).

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

11220111122100 is a wasteful number, since it uses less digits than its factorization.

11220111122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185702 (or 1185695 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11220111122100 its reverse (122111102211), we get a palindrome (11342222224311).

The spelling of 11220111122100 in words is "eleven trillion, two hundred twenty billion, one hundred eleven million, one hundred twenty-two thousand, one hundred".