22101100100 has 72 divisors (see below), whose sum is σ = 50312404800. Its totient is φ = 8415299200.

The previous prime is 22101100093. The next prime is 22101100111. The reversal of 22101100100 is 100110122.

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, 152231 + ... + 259569.

It is an arithmetic number, because the mean of its divisors is an integer number (698783400).

Almost surely, 2^22101100100 is an apocalyptic number.

22101100100 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 22101100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25156202400).

22101100100 is an abundant number, since it is smaller than the sum of its proper divisors (28211304700).

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

22101100100 is a wasteful number, since it uses less digits than its factorization.

22101100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107453 (or 107446 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 22101100100 its reverse (100110122), we get a palindrome (22201210222).

The spelling of 22101100100 in words is "twenty-two billion, one hundred one million, one hundred thousand, one hundred".