22122122100 has 144 divisors (see below), whose sum is σ = 72985203648. Its totient is φ = 5125109760.

The previous prime is 22122122081. The next prime is 22122122111. The reversal of 22122122100 is 122122122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22122122100.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 100534 + ... + 233133.

It is an arithmetic number, because the mean of its divisors is an integer number (506841692).

Almost surely, 2^22122122100 is an apocalyptic number.

22122122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122122100 is an abundant number, since it is smaller than the sum of its proper divisors (50863081548).

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

22122122100 is a wasteful number, since it uses less digits than its factorization.

22122122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333714 (or 333707 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22122122100 its reverse (122122122), we get a palindrome (22244244222).

The spelling of 22122122100 in words is "twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred".