22021100100 has 144 divisors (see below), whose sum is σ = 71263911040. Its totient is φ = 5833296000.

The previous prime is 22021100053. The next prime is 22021100117. The reversal of 22021100100 is 100112022.

It is a super-2 number, since 2×22021100100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 380694 + ... + 434706.

Almost surely, 2^22021100100 is an apocalyptic number.

22021100100 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 22021100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35631955520).

22021100100 is an abundant number, since it is smaller than the sum of its proper divisors (49242810940).

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

22021100100 is a wasteful number, since it uses less digits than its factorization.

22021100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54187 (or 54174 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 22021100100 its reverse (100112022), we get a palindrome (22121212122).

The spelling of 22021100100 in words is "twenty-two billion, twenty-one million, one hundred thousand, one hundred".