2121331012002 has 24 divisors (see below), whose sum is σ = 4682938273884. Its totient is φ = 693768632544.

The previous prime is 2121331011971. The next prime is 2121331012037. The reversal of 2121331012002 is 2002101331212.

2121331012002 is a `hidden beast` number, since 21 + 213 + 310 + 120 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2008005195681 + 113325816321 = 1417041^2 + 336639^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 1111807753 + ... + 1111809660.

Almost surely, 2^{2121331012002} is an apocalyptic number.

2121331012002 is an abundant number, since it is smaller than the sum of its proper divisors (2561607261882).

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

2121331012002 is a wasteful number, since it uses less digits than its factorization.

2121331012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223617474 (or 2223617471 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2121331012002 its reverse (2002101331212), we get a palindrome (4123432343214).

The spelling of 2121331012002 in words is "two trillion, one hundred twenty-one billion, three hundred thirty-one million, twelve thousand, two".