12211211112100 has 432 divisors, whose sum is σ = 35873530336000. Its totient is φ = 3510785203200.

The previous prime is 12211211112031. The next prime is 12211211112179. The reversal of 12211211112100 is 121111211221.

It is a super-2 number, since 2×12211211112100² (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 143 ways as a sum of consecutive naturals, for example, 1969864801 + ... + 1969870999.

Almost surely, 2^{12211211112100} is an apocalyptic number.

12211211112100 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 12211211112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17936765168000).

12211211112100 is an abundant number, since it is smaller than the sum of its proper divisors (23662319223900).

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

12211211112100 is a wasteful number, since it uses less digits than its factorization.

12211211112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8044 (or 8026 counting only the distinct ones).

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

Adding to 12211211112100 its reverse (121111211221), we get a palindrome (12332322323321).

It can be divided in two parts, 12 and 211211112100, that added together give a palindrome (211211112112).

The spelling of 12211211112100 in words is "twelve trillion, two hundred eleven billion, two hundred eleven million, one hundred twelve thousand, one hundred".