12200200021100 has 216 divisors, whose sum is σ = 33565376709648. Its totient is φ = 3814640524800.

The previous prime is 12200200021099. The next prime is 12200200021123. The reversal of 12200200021100 is 112000200221.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4133330 + ... + 6440870.

Almost surely, 2^{12200200021100} is an apocalyptic number.

12200200021100 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 12200200021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16782688354824).

12200200021100 is an abundant number, since it is smaller than the sum of its proper divisors (21365176688548).

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

12200200021100 is a wasteful number, since it uses less digits than its factorization.

12200200021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307665 (or 2307651 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12200200021100 its reverse (112000200221), we get a palindrome (12312200221321).

The spelling of 12200200021100 in words is "twelve trillion, two hundred billion, two hundred million, twenty-one thousand, one hundred".