22101200100 has 324 divisors, whose sum is σ = 82307481984. Its totient is φ = 4943756160.

The previous prime is 22101200057. The next prime is 22101200113. The reversal of 22101200100 is 100210122.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2067369 + ... + 2078031.

Almost surely, 2^22101200100 is an apocalyptic number.

22101200100 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 22101200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41153740992).

22101200100 is an abundant number, since it is smaller than the sum of its proper divisors (60206281884).

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

22101200100 is a wasteful number, since it uses less digits than its factorization.

22101200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10744 (or 10727 counting only the distinct ones).

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

Adding to 22101200100 its reverse (100210122), we get a palindrome (22201410222).

The spelling of 22101200100 in words is "twenty-two billion, one hundred one million, two hundred thousand, one hundred".