12100221010200 has 192 divisors, whose sum is σ = 37586863929600. Its totient is φ = 3220179494400.

The previous prime is 12100221010193. The next prime is 12100221010243. The reversal of 12100221010200 is 201012200121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 619212430 + ... + 619231970.

It is an arithmetic number, because the mean of its divisors is an integer number (195764916300).

Almost surely, 2^{12100221010200} is an apocalyptic number.

12100221010200 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 12100221010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18793431964800).

12100221010200 is an abundant number, since it is smaller than the sum of its proper divisors (25486642919400).

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

12100221010200 is a wasteful number, since it uses less digits than its factorization.

12100221010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21602 (or 21593 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12100221010200 its reverse (201012200121), we get a palindrome (12301233210321).

It can be divided in two parts, 1210022 and 1010200, that added together give a palindrome (2220222).

The spelling of 12100221010200 in words is "twelve trillion, one hundred billion, two hundred twenty-one million, ten thousand, two hundred".