12221121020100 has 288 divisors, whose sum is σ = 35858684897280. Its totient is φ = 3213312560640.

The previous prime is 12221121019997. The next prime is 12221121020179. The reversal of 12221121020100 is 102012112221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12221121020100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9209585637 + ... + 9209586963.

It is an arithmetic number, because the mean of its divisors is an integer number (124509322560).

Almost surely, 2^{12221121020100} is an apocalyptic number.

12221121020100 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 12221121020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17929342448640).

12221121020100 is an abundant number, since it is smaller than the sum of its proper divisors (23637563877180).

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

12221121020100 is a wasteful number, since it uses less digits than its factorization.

12221121020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12221121020100 its reverse (102012112221), we get a palindrome (12323133132321).

The spelling of 12221121020100 in words is "twelve trillion, two hundred twenty-one billion, one hundred twenty-one million, twenty thousand, one hundred".