2002121211121 has 8 divisors (see below), whose sum is σ = 2013561335520. Its totient is φ = 1990683921408.

The previous prime is 2002121211047. The next prime is 2002121211161. The reversal of 2002121211121 is 1211121212002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2002121211121 - 2¹³ = 2002121202929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002121211095 and 2002121211104.

It is not an unprimeable number, because it can be changed into a prime (2002121211161) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 716110 + ... + 2125336.

It is an arithmetic number, because the mean of its divisors is an integer number (251695166940).

Almost surely, 2^{2002121211121} is an apocalyptic number.

It is an amenable number.

2002121211121 is a deficient number, since it is larger than the sum of its proper divisors (11440124399).

2002121211121 is a wasteful number, since it uses less digits than its factorization.

2002121211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417343.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2002121211121 its reverse (1211121212002), we get a palindrome (3213242423123).

The spelling of 2002121211121 in words is "two trillion, two billion, one hundred twenty-one million, two hundred eleven thousand, one hundred twenty-one".