12210212021100 has 288 divisors, whose sum is σ = 36407176624896. Its totient is φ = 3157236403200.

The previous prime is 12210212021093. The next prime is 12210212021101. The reversal of 12210212021100 is 112021201221.

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 12210212021100.

It is not an unprimeable number, because it can be changed into a prime (12210212021101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5497617990 + ... + 5497620210.

Almost surely, 2^{12210212021100} is an apocalyptic number.

12210212021100 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 12210212021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18203588312448).

12210212021100 is an abundant number, since it is smaller than the sum of its proper divisors (24196964603796).

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

12210212021100 is a wasteful number, since it uses less digits than its factorization.

12210212021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3745 (or 3738 counting only the distinct ones).

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

Adding to 12210212021100 its reverse (112021201221), we get a palindrome (12322233222321).

The spelling of 12210212021100 in words is "twelve trillion, two hundred ten billion, two hundred twelve million, twenty-one thousand, one hundred".