22101122120 has 128 divisors (see below), whose sum is σ = 62047641600. Its totient is φ = 6883142400.

The previous prime is 22101122117. The next prime is 22101122137. The reversal of 22101122120 is 2122110122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 22101122095 and 22101122104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5637521 + ... + 5641439.

It is an arithmetic number, because the mean of its divisors is an integer number (484747200).

Almost surely, 2^22101122120 is an apocalyptic number.

22101122120 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 22101122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31023820800).

22101122120 is an abundant number, since it is smaller than the sum of its proper divisors (39946519480).

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

22101122120 is a wasteful number, since it uses less digits than its factorization.

22101122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5779 (or 5775 counting only the distinct ones).

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

Adding to 22101122120 its reverse (2122110122), we get a palindrome (24223232242).

The spelling of 22101122120 in words is "twenty-two billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty".