22100221012120 has 128 divisors (see below), whose sum is σ = 51946106889600. Its totient is φ = 8446188703744.

The previous prime is 22100221012049. The next prime is 22100221012141. The reversal of 22100221012120 is 2121012200122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22100221012094 and 22100221012103.

It is a congruent number.

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, 4191201804 + ... + 4191207076.

It is an arithmetic number, because the mean of its divisors is an integer number (405828960075).

Almost surely, 2^{22100221012120} is an apocalyptic number.

22100221012120 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 22100221012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25973053444800).

22100221012120 is an abundant number, since it is smaller than the sum of its proper divisors (29845885877480).

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

22100221012120 is a wasteful number, since it uses less digits than its factorization.

22100221012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9589 (or 9585 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22100221012120 its reverse (2121012200122), we get a palindrome (24221233212242).

The spelling of 22100221012120 in words is "twenty-two trillion, one hundred billion, two hundred twenty-one million, twelve thousand, one hundred twenty".