12100211331300 has 216 divisors, whose sum is σ = 38206316139264. Its totient is φ = 3203055717120.

The previous prime is 12100211331283. The next prime is 12100211331301. The reversal of 12100211331300 is 313311200121.

12100211331300 is a `hidden beast` number, since 1 + 2 + 10 + 0 + 21 + 1 + 331 + 300 = 666.

It is a super-2 number, since 2×12100211331300² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12100211331301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 100054669 + ... + 100175531.

Almost surely, 2^{12100211331300} is an apocalyptic number.

12100211331300 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 12100211331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19103158069632).

12100211331300 is an abundant number, since it is smaller than the sum of its proper divisors (26106104807964).

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

12100211331300 is a wasteful number, since it uses less digits than its factorization.

12100211331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121699 (or 121689 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12100211331300 its reverse (313311200121), we get a palindrome (12413522531421).

The spelling of 12100211331300 in words is "twelve trillion, one hundred billion, two hundred eleven million, three hundred thirty-one thousand, three hundred".