12001221002100 has 576 divisors, whose sum is σ = 39177532477440. Its totient is φ = 2811917721600.

The previous prime is 12001221002093. The next prime is 12001221002117. The reversal of 12001221002100 is 120012210021.

It is a super-2 number, since 2×12001221002100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2607258399 + ... + 2607263001.

It is an arithmetic number, because the mean of its divisors is an integer number (68016549440).

Almost surely, 2^{12001221002100} is an apocalyptic number.

12001221002100 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 12001221002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19588766238720).

12001221002100 is an abundant number, since it is smaller than the sum of its proper divisors (27176311475340).

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

12001221002100 is a wasteful number, since it uses less digits than its factorization.

12001221002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4920 (or 4913 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12001221002100 its reverse (120012210021), we get a palindrome (12121233212121).

12001221002100 divided by its reverse (120012210021) gives a square (100 = 10²).

It can be divided in two parts, 120012 and 21002100, that added together give a palindrome (21122112).

The spelling of 12001221002100 in words is "twelve trillion, one billion, two hundred twenty-one million, two thousand, one hundred".