22220102100 has 432 divisors, whose sum is σ = 77380047360. Its totient is φ = 4820774400.

The previous prime is 22220102057. The next prime is 22220102101. The reversal of 22220102100 is 120102222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22220102101) 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 143 ways as a sum of consecutive naturals, for example, 169619035 + ... + 169619165.

It is an arithmetic number, because the mean of its divisors is an integer number (179120480).

Almost surely, 2^22220102100 is an apocalyptic number.

22220102100 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 22220102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38690023680).

22220102100 is an abundant number, since it is smaller than the sum of its proper divisors (55159945260).

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

22220102100 is a wasteful number, since it uses less digits than its factorization.

22220102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22220102100 its reverse (120102222), we get a palindrome (22340204322).

The spelling of 22220102100 in words is "twenty-two billion, two hundred twenty million, one hundred two thousand, one hundred".