11212200100220 has 192 divisors, whose sum is σ = 28082258620416. Its totient is φ = 3680589265920.

The previous prime is 11212200100187. The next prime is 11212200100249. The reversal of 11212200100220 is 2200100221211.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11212200100195 and 11212200100204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107543357 + ... + 107647563.

It is an arithmetic number, because the mean of its divisors is an integer number (146261763648).

Almost surely, 2^{11212200100220} is an apocalyptic number.

11212200100220 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 11212200100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14041129310208).

11212200100220 is an abundant number, since it is smaller than the sum of its proper divisors (16870058520196).

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

11212200100220 is a wasteful number, since it uses less digits than its factorization.

11212200100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104620 (or 104618 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11212200100220 its reverse (2200100221211), we get a palindrome (13412300321431).

The spelling of 11212200100220 in words is "eleven trillion, two hundred twelve billion, two hundred million, one hundred thousand, two hundred twenty".