111010211221120 has 128 divisors (see below), whose sum is σ = 274720617722880. Its totient is φ = 42849959116800.

The previous prime is 111010211220989. The next prime is 111010211221121. The reversal of 111010211221120 is 21122112010111.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 111010211221094 and 111010211221103.

It is not an unprimeable number, because it can be changed into a prime (111010211221121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 921796 + ... + 14928835.

It is an arithmetic number, because the mean of its divisors is an integer number (2146254825960).

Almost surely, 2^{111010211221120} is an apocalyptic number.

111010211221120 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 111010211221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137360308861440).

111010211221120 is an abundant number, since it is smaller than the sum of its proper divisors (163710406501760).

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

111010211221120 is a wasteful number, since it uses less digits than its factorization.

111010211221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15851034 (or 15851022 counting only the distinct ones).

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

Adding to 111010211221120 its reverse (21122112010111), we get a palindrome (132132323231231).

The spelling of 111010211221120 in words is "one hundred eleven trillion, ten billion, two hundred eleven million, two hundred twenty-one thousand, one hundred twenty".