12100001001012 has 216 divisors, whose sum is σ = 34817195431200. Its totient is φ = 3528885419136.

The previous prime is 12100001000951. The next prime is 12100001001013. The reversal of 12100001001012 is 21010010000121.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 12100001000985 and 12100001001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100001001013) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9916683 + ... + 11069805.

Almost surely, 2^{12100001001012} is an apocalyptic number.

12100001001012 is a gapful number since it is divisible by the number (12) 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 12100001001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17408597715600).

12100001001012 is an abundant number, since it is smaller than the sum of its proper divisors (22717194430188).

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

12100001001012 is a wasteful number, since it uses less digits than its factorization.

12100001001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153227 (or 1153199 counting only the distinct ones).

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

Adding to 12100001001012 its reverse (21010010000121), we get a palindrome (33110011001133).

The spelling of 12100001001012 in words is "twelve trillion, one hundred billion, one million, one thousand, twelve".