22101120 has 128 divisors (see below), whose sum is σ = 78336000. Its totient is φ = 5889024.

The previous prime is 22101113. The next prime is 22101143. The reversal of 22101120 is 2110122.

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 (9).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16641 + ... + 17919.

It is an arithmetic number, because the mean of its divisors is an integer number (612000).

Almost surely, 2^22101120 is an apocalyptic number.

22101120 is a gapful number since it is divisible by the number (20) 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 22101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39168000).

22101120 is an abundant number, since it is smaller than the sum of its proper divisors (56234880).

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

22101120 is a wasteful number, since it uses less digits than its factorization.

22101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 22101120 is about 4701.1828298844. The cubic root of 22101120 is about 280.6325833801.

Adding to 22101120 its reverse (2110122), we get a palindrome (24211242).

The spelling of 22101120 in words is "twenty-two million, one hundred one thousand, one hundred twenty".