22202110010120 has 128 divisors (see below), whose sum is σ = 51224704819200. Its totient is φ = 8657403715584.

The previous prime is 22202110010117. The next prime is 22202110010123. The reversal of 22202110010120 is 2101001120222.

It is an interprime number because it is at equal distance from previous prime (22202110010117) and next prime (22202110010123).

It is a junction number, because it is equal to n+sod(n) for n = 22202110010095 and 22202110010104.

It is not an unprimeable number, because it can be changed into a prime (22202110010123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213493496 + ... + 213597464.

It is an arithmetic number, because the mean of its divisors is an integer number (400193006400).

Almost surely, 2^{22202110010120} is an apocalyptic number.

22202110010120 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 22202110010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25612352409600).

22202110010120 is an abundant number, since it is smaller than the sum of its proper divisors (29022594809080).

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

22202110010120 is a wasteful number, since it uses less digits than its factorization.

22202110010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104679 (or 104675 counting only the distinct ones).

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

Adding to 22202110010120 its reverse (2101001120222), we get a palindrome (24303111130342).

The spelling of 22202110010120 in words is "twenty-two trillion, two hundred two billion, one hundred ten million, ten thousand, one hundred twenty".