12221121110100 has 576 divisors, whose sum is σ = 41535633216000. Its totient is φ = 2773177344000.

The previous prime is 12221121110083. The next prime is 12221121110101. The reversal of 12221121110100 is 101112112221.

It is a happy number.

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 12221121110100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221121110101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11432292366 + ... + 11432293434.

Almost surely, 2^{12221121110100} is an apocalyptic number.

12221121110100 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 12221121110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20767816608000).

12221121110100 is an abundant number, since it is smaller than the sum of its proper divisors (29314512105900).

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

12221121110100 is a wasteful number, since it uses less digits than its factorization.

12221121110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12221121110100 its reverse (101112112221), we get a palindrome (12322233222321).

The spelling of 12221121110100 in words is "twelve trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred ten thousand, one hundred".