22101210120 has 256 divisors, whose sum is σ = 74425236480. Its totient is φ = 5204966400.

The previous prime is 22101210101. The next prime is 22101210143. The reversal of 22101210120 is 2101210122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22101210096 and 22101210105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6681507 + ... + 6684813.

It is an arithmetic number, because the mean of its divisors is an integer number (290723580).

Almost surely, 2^22101210120 is an apocalyptic number.

22101210120 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 22101210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37212618240).

22101210120 is an abundant number, since it is smaller than the sum of its proper divisors (52324026360).

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

22101210120 is a wasteful number, since it uses less digits than its factorization.

22101210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3476 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22101210120 its reverse (2101210122), we get a palindrome (24202420242).

It can be divided in two parts, 221012 and 10120, that added together give a palindrome (231132).

The spelling of 22101210120 in words is "twenty-two billion, one hundred one million, two hundred ten thousand, one hundred twenty".