12201221000100 has 1152 divisors, whose sum is σ = 41172148813824. Its totient is φ = 2763694080000.

The previous prime is 12201221000093. The next prime is 12201221000119. The reversal of 12201221000100 is 100012210221.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 89060007232 + ... + 89060007368.

It is an arithmetic number, because the mean of its divisors is an integer number (35739712512).

Almost surely, 2^{12201221000100} is an apocalyptic number.

12201221000100 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 12201221000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20586074406912).

12201221000100 is an abundant number, since it is smaller than the sum of its proper divisors (28970927813724).

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

12201221000100 is a wasteful number, since it uses less digits than its factorization.

12201221000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 470 counting only the distinct ones).

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

Adding to 12201221000100 its reverse (100012210221), we get a palindrome (12301233210321).

It can be divided in two parts, 1220122 and 1000100, that added together give a palindrome (2220222).

The spelling of 12201221000100 in words is "twelve trillion, two hundred one billion, two hundred twenty-one million, one hundred", and thus it is an aban number.