12001001021100 has 576 divisors, whose sum is σ = 47499465395200. Its totient is φ = 2531270891520.

The previous prime is 12001001021099. The next prime is 12001001021111. The reversal of 12001001021100 is 112010010021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 1066086672 + ... + 1066097928.

Almost surely, 2^{12001001021100} is an apocalyptic number.

12001001021100 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 12001001021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23749732697600).

12001001021100 is an abundant number, since it is smaller than the sum of its proper divisors (35498464374100).

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

12001001021100 is a wasteful number, since it uses less digits than its factorization.

12001001021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15639 (or 15626 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12001001021100 its reverse (112010010021), we get a palindrome (12113011031121).

The spelling of 12001001021100 in words is "twelve trillion, one billion, one million, twenty-one thousand, one hundred".