2112002121012 has 96 divisors (see below), whose sum is σ = 5674214633472. Its totient is φ = 598908500736.

The previous prime is 2112002120993. The next prime is 2112002121017. The reversal of 2112002121012 is 2101212002112.

It is a junction number, because it is equal to n+sod(n) for n = 2112002120982 and 2112002121000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112002121017) 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, 72059953 + ... + 72089255.

It is an arithmetic number, because the mean of its divisors is an integer number (59106402432).

Almost surely, 2^{2112002121012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112002121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2837107316736).

2112002121012 is an abundant number, since it is smaller than the sum of its proper divisors (3562212512460).

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

2112002121012 is a wasteful number, since it uses less digits than its factorization.

2112002121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35717 (or 35715 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2112002121012 its reverse (2101212002112), we get a palindrome (4213214123124).

The spelling of 2112002121012 in words is "two trillion, one hundred twelve billion, two million, one hundred twenty-one thousand, twelve".