22222122022100 has 576 divisors, whose sum is σ = 65105219999232. Its totient is φ = 6358182912000.

The previous prime is 22222122022097. The next prime is 22222122022159. The reversal of 22222122022100 is 122022122222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26051725274 + ... + 26051726126.

It is an arithmetic number, because the mean of its divisors is an integer number (113029895832).

Almost surely, 2^{22222122022100} is an apocalyptic number.

22222122022100 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 22222122022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32552609999616).

22222122022100 is an abundant number, since it is smaller than the sum of its proper divisors (42883097977132).

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

22222122022100 is a wasteful number, since it uses less digits than its factorization.

22222122022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 22222122022100 its reverse (122022122222), we get a palindrome (22344144144322).

The spelling of 22222122022100 in words is "twenty-two trillion, two hundred twenty-two billion, one hundred twenty-two million, twenty-two thousand, one hundred".