22132221100 has 144 divisors (see below), whose sum is σ = 53198782560. Its totient is φ = 7925299200.

The previous prime is 22132221071. The next prime is 22132221101. The reversal of 22132221100 is 112223122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22132221101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23619832 + ... + 23620768.

It is an arithmetic number, because the mean of its divisors is an integer number (369435990).

Almost surely, 2^22132221100 is an apocalyptic number.

22132221100 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 22132221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26599391280).

22132221100 is an abundant number, since it is smaller than the sum of its proper divisors (31066561460).

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

22132221100 is a wasteful number, since it uses less digits than its factorization.

22132221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 22132221100 its reverse (112223122), we get a palindrome (22244444222).

The spelling of 22132221100 in words is "twenty-two billion, one hundred thirty-two million, two hundred twenty-one thousand, one hundred".