12211100232100 has 576 divisors, whose sum is σ = 35986176737280. Its totient is φ = 3480770880000.

The previous prime is 12211100232083. The next prime is 12211100232161. The reversal of 12211100232100 is 123200111221.

It is a super-2 number, since 2×12211100232100² (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 191 ways as a sum of consecutive naturals, for example, 1954711177 + ... + 1954717423.

It is an arithmetic number, because the mean of its divisors is an integer number (62476001280).

Almost surely, 2^{12211100232100} is an apocalyptic number.

12211100232100 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 12211100232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17993088368640).

12211100232100 is an abundant number, since it is smaller than the sum of its proper divisors (23775076505180).

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

12211100232100 is a wasteful number, since it uses less digits than its factorization.

12211100232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6760 (or 6753 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12211100232100 its reverse (123200111221), we get a palindrome (12334300343321).

The spelling of 12211100232100 in words is "twelve trillion, two hundred eleven billion, one hundred million, two hundred thirty-two thousand, one hundred".