22221102210120 has 512 divisors, whose sum is σ = 82726860902400. Its totient is φ = 5258876313600.

The previous prime is 22221102210091. The next prime is 22221102210173. The reversal of 22221102210120 is 2101220112222.

It is a happy number.

22221102210120 is a `hidden beast` number, since 2 + 222 + 110 + 2 + 210 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22221102210093 and 22221102210102.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1063047589 + ... + 1063068491.

It is an arithmetic number, because the mean of its divisors is an integer number (161575900200).

Almost surely, 2^{22221102210120} is an apocalyptic number.

22221102210120 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 22221102210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41363430451200).

22221102210120 is an abundant number, since it is smaller than the sum of its proper divisors (60505758692280).

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

22221102210120 is a wasteful number, since it uses less digits than its factorization.

22221102210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23058 (or 23048 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22221102210120 its reverse (2101220112222), we get a palindrome (24322322322342).

The spelling of 22221102210120 in words is "twenty-two trillion, two hundred twenty-one billion, one hundred two million, two hundred ten thousand, one hundred twenty".