11110210221100 has 144 divisors (see below), whose sum is σ = 25852957304832. Its totient is φ = 4136731200000.

The previous prime is 11110210221079. The next prime is 11110210221161. The reversal of 11110210221100 is 112201201111.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8408515 + ... + 9639685.

It is an arithmetic number, because the mean of its divisors is an integer number (179534425728).

Almost surely, 2^{11110210221100} is an apocalyptic number.

11110210221100 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 11110210221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12926478652416).

11110210221100 is an abundant number, since it is smaller than the sum of its proper divisors (14742747083732).

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

11110210221100 is a wasteful number, since it uses less digits than its factorization.

11110210221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231328 (or 1231321 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11110210221100 its reverse (112201201111), we get a palindrome (11222411422211).

The spelling of 11110210221100 in words is "eleven trillion, one hundred ten billion, two hundred ten million, two hundred twenty-one thousand, one hundred".