22122010222100 has 36 divisors (see below), whose sum is σ = 48007134963900. Its totient is φ = 8848366709760.

The previous prime is 22122010222093. The next prime is 22122010222111. The reversal of 22122010222100 is 122201022122.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7619893264 + 22114390328836 = 87292^2 + 4702594^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3430205 + ... + 7484004.

It is an arithmetic number, because the mean of its divisors is an integer number (1333531526775).

Almost surely, 2^{22122010222100} is an apocalyptic number.

22122010222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122010222100 is an abundant number, since it is smaller than the sum of its proper divisors (25885124741800).

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

22122010222100 is a wasteful number, since it uses less digits than its factorization.

22122010222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10934492 (or 10934485 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22122010222100 its reverse (122201022122), we get a palindrome (22244211244222).

The spelling of 22122010222100 in words is "twenty-two trillion, one hundred twenty-two billion, ten million, two hundred twenty-two thousand, one hundred".