2002120110012 has 96 divisors (see below), whose sum is σ = 5115758505984. Its totient is φ = 604388491200.

The previous prime is 2002120109993. The next prime is 2002120110079. The reversal of 2002120110012 is 2100110212002.

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 2002120110012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210944587 + ... + 210954077.

It is an arithmetic number, because the mean of its divisors is an integer number (53289151104).

Almost surely, 2^{2002120110012} is an apocalyptic number.

2002120110012 is a gapful number since it is divisible by the number (22) 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 2002120110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557879252992).

2002120110012 is an abundant number, since it is smaller than the sum of its proper divisors (3113638395972).

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

2002120110012 is a wasteful number, since it uses less digits than its factorization.

2002120110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15439 (or 15437 counting only the distinct ones).

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

Adding to 2002120110012 its reverse (2100110212002), we get a palindrome (4102230322014).

It can be divided in two parts, 200 and 2120110012, that added together give a palindrome (2120110212).

The spelling of 2002120110012 in words is "two trillion, two billion, one hundred twenty million, one hundred ten thousand, twelve".