12201200100 has 252 divisors, whose sum is σ = 40984876800. Its totient is φ = 3148113600.

The previous prime is 12201200093. The next prime is 12201200111. The reversal of 12201200100 is 100210221.

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 83 ways as a sum of consecutive naturals, for example, 2257201 + ... + 2262599.

It is an arithmetic number, because the mean of its divisors is an integer number (162638400).

Almost surely, 2^12201200100 is an apocalyptic number.

12201200100 is a gapful number since it is divisible by the number (10) 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 12201200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20492438400).

12201200100 is an abundant number, since it is smaller than the sum of its proper divisors (28783676700).

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

12201200100 is a wasteful number, since it uses less digits than its factorization.

12201200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5462 (or 5440 counting only the distinct ones).

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

Adding to 12201200100 its reverse (100210221), we get a palindrome (12301410321).

The spelling of 12201200100 in words is "twelve billion, two hundred one million, two hundred thousand, one hundred".