12121211301100 has 144 divisors (see below), whose sum is σ = 28813690493280. Its totient is φ = 4389387724800.

The previous prime is 12121211301049. The next prime is 12121211301229. The reversal of 12121211301100 is 110311212121.

It is a happy number.

12121211301100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12121211301100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368040234 + ... + 368073166.

It is an arithmetic number, because the mean of its divisors is an integer number (200095072870).

Almost surely, 2^{12121211301100} is an apocalyptic number.

12121211301100 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 12121211301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14406845246640).

12121211301100 is an abundant number, since it is smaller than the sum of its proper divisors (16692479192180).

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

12121211301100 is a wasteful number, since it uses less digits than its factorization.

12121211301100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34340 (or 34333 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 12121211301100 its reverse (110311212121), we get a palindrome (12231522513221).

The spelling of 12121211301100 in words is "twelve trillion, one hundred twenty-one billion, two hundred eleven million, three hundred one thousand, one hundred".