11142100220 has 72 divisors (see below), whose sum is σ = 25936745184. Its totient is φ = 4012248064.

The previous prime is 11142100153. The next prime is 11142100247. The reversal of 11142100220 is 2200124111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11142100195 and 11142100204.

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 23 ways as a sum of consecutive naturals, for example, 91034 + ... + 174846.

It is an arithmetic number, because the mean of its divisors is an integer number (360232572).

Almost surely, 2^11142100220 is an apocalyptic number.

11142100220 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 11142100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12968372592).

11142100220 is an abundant number, since it is smaller than the sum of its proper divisors (14794644964).

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

11142100220 is a wasteful number, since it uses less digits than its factorization.

11142100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83879 (or 83860 counting only the distinct ones).

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

Adding to 11142100220 its reverse (2200124111), we get a palindrome (13342224331).

The spelling of 11142100220 in words is "eleven billion, one hundred forty-two million, one hundred thousand, two hundred twenty".