22112100 has 108 divisors (see below), whose sum is σ = 70412160. Its totient is φ = 5803200.

The previous prime is 22112099. The next prime is 22112107. The reversal of 22112100 is 121122.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22112107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70945 + ... + 71255.

Almost surely, 2^22112100 is an apocalyptic number.

22112100 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 22112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35206080).

22112100 is an abundant number, since it is smaller than the sum of its proper divisors (48300060).

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

22112100 is a wasteful number, since it uses less digits than its factorization.

22112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 400 counting only the distinct ones).

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

The square root of 22112100 is about 4702.3504760917. The cubic root of 22112100 is about 280.6790491343.

Adding to 22112100 its reverse (121122), we get a palindrome (22233222).

It can be divided in two parts, 221 and 12100, that added together give a palindrome (12321).

The spelling of 22112100 in words is "twenty-two million, one hundred twelve thousand, one hundred".