22160101120 has 144 divisors (see below), whose sum is σ = 56724433920. Its totient is φ = 8265203712.

The previous prime is 22160101091. The next prime is 22160101121. The reversal of 22160101120 is 2110106122.

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 = 22160101094 and 22160101103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22160101121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2367169 + ... + 2376511.

It is an arithmetic number, because the mean of its divisors is an integer number (393919680).

Almost surely, 2^22160101120 is an apocalyptic number.

22160101120 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 22160101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28362216960).

22160101120 is an abundant number, since it is smaller than the sum of its proper divisors (34564332800).

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

22160101120 is a wasteful number, since it uses less digits than its factorization.

22160101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9490 (or 9476 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 22160101120 its reverse (2110106122), we get a palindrome (24270207242).

The spelling of 22160101120 in words is "twenty-two billion, one hundred sixty million, one hundred one thousand, one hundred twenty".