22123211001100 has 144 divisors (see below), whose sum is σ = 52754184766080. Its totient is φ = 7986251315200.

The previous prime is 22123211001037. The next prime is 22123211001137. The reversal of 22123211001100 is 110011232122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86518236 + ... + 86773564.

It is an arithmetic number, because the mean of its divisors is an integer number (366348505320).

Almost surely, 2^{22123211001100} is an apocalyptic number.

22123211001100 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 22123211001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26377092383040).

22123211001100 is an abundant number, since it is smaller than the sum of its proper divisors (30630973764980).

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

22123211001100 is a wasteful number, since it uses less digits than its factorization.

22123211001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255928 (or 255921 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 22123211001100 its reverse (110011232122), we get a palindrome (22233222233222).

The spelling of 22123211001100 in words is "twenty-two trillion, one hundred twenty-three billion, two hundred eleven million, one thousand, one hundred".