22011112100 has 72 divisors (see below), whose sum is σ = 50699020680. Its totient is φ = 8266014720.

The previous prime is 22011112099. The next prime is 22011112111. The reversal of 22011112100 is 121111022.

It can be written as a sum of positive squares in 12 ways, for example, as 482593024 + 21528519076 = 21968^2 + 146726^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 679472 + ... + 711128.

It is an arithmetic number, because the mean of its divisors is an integer number (704153065).

Almost surely, 2^22011112100 is an apocalyptic number.

22011112100 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 22011112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25349510340).

22011112100 is an abundant number, since it is smaller than the sum of its proper divisors (28687908580).

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

22011112100 is a wasteful number, since it uses less digits than its factorization.

22011112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32097 (or 32090 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 22011112100 its reverse (121111022), we get a palindrome (22132223122).

The spelling of 22011112100 in words is "twenty-two billion, eleven million, one hundred twelve thousand, one hundred".