12100221221300 has 72 divisors (see below), whose sum is σ = 27809683566336. Its totient is φ = 4554124623360.

The previous prime is 12100221221293. The next prime is 12100221221321. The reversal of 12100221221300 is 312212200121.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

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, 5216189 + ... + 7170011.

It is an arithmetic number, because the mean of its divisors is an integer number (386245605088).

Almost surely, 2^{12100221221300} is an apocalyptic number.

12100221221300 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 12100221221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13904841783168).

12100221221300 is an abundant number, since it is smaller than the sum of its proper divisors (15709462345036).

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

12100221221300 is a wasteful number, since it uses less digits than its factorization.

12100221221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957497 (or 1957490 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12100221221300 its reverse (312212200121), we get a palindrome (12412433421421).

The spelling of 12100221221300 in words is "twelve trillion, one hundred billion, two hundred twenty-one million, two hundred twenty-one thousand, three hundred".