12002100210012 has 96 divisors (see below), whose sum is σ = 31195361401344. Its totient is φ = 3560993971200.

The previous prime is 12002100209989. The next prime is 12002100210013. The reversal of 12002100210012 is 21001200120021.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12002100210012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002100210013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3225664 + ... + 5865927.

It is an arithmetic number, because the mean of its divisors is an integer number (324951681264).

Almost surely, 2^{12002100210012} is an apocalyptic number.

12002100210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12002100210012 is an abundant number, since it is smaller than the sum of its proper divisors (19193261191332).

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

12002100210012 is a wasteful number, since it uses less digits than its factorization.

12002100210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9091819 (or 9091817 counting only the distinct ones).

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

Adding to 12002100210012 its reverse (21001200120021), we get a palindrome (33003300330033).

The spelling of 12002100210012 in words is "twelve trillion, two billion, one hundred million, two hundred ten thousand, twelve".