12211002211100 has 288 divisors, whose sum is σ = 34782713763840. Its totient is φ = 3604916448000.

The previous prime is 12211002211033. The next prime is 12211002211129. The reversal of 12211002211100 is 111220011221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

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, 1212968267 + ... + 1212978333.

It is an arithmetic number, because the mean of its divisors is an integer number (120773311680).

Almost surely, 2^{12211002211100} is an apocalyptic number.

12211002211100 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 12211002211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17391356881920).

12211002211100 is an abundant number, since it is smaller than the sum of its proper divisors (22571711552740).

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

12211002211100 is a wasteful number, since it uses less digits than its factorization.

12211002211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18409 (or 18402 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12211002211100 its reverse (111220011221), we get a palindrome (12322222222321).

The spelling of 12211002211100 in words is "twelve trillion, two hundred eleven billion, two million, two hundred eleven thousand, one hundred".