22123102100 has 72 divisors (see below), whose sum is σ = 53485826688. Its totient is φ = 7873580800.

The previous prime is 22123102091. The next prime is 22123102103. The reversal of 22123102100 is 120132122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22123102103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 162257 + ... + 265656.

It is an arithmetic number, because the mean of its divisors is an integer number (742858704).

Almost surely, 2^22123102100 is an apocalyptic number.

22123102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22123102100 is an abundant number, since it is smaller than the sum of its proper divisors (31362724588).

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

22123102100 is a wasteful number, since it uses less digits than its factorization.

22123102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427985 (or 427978 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 22123102100 its reverse (120132122), we get a palindrome (22243234222).

The spelling of 22123102100 in words is "twenty-two billion, one hundred twenty-three million, one hundred two thousand, one hundred".