2002121121 has 32 divisors (see below), whose sum is σ = 3584222208. Its totient is φ = 960056640.

The previous prime is 2002121071. The next prime is 2002121129. The reversal of 2002121121 is 1211212002.

It is not a de Polignac number, because 2002121121 - 2¹³ = 2002112929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002121097 and 2002121106.

It is not an unprimeable number, because it can be changed into a prime (2002121129) 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, 330351 + ... + 336356.

It is an arithmetic number, because the mean of its divisors is an integer number (112006944).

Almost surely, 2^2002121121 is an apocalyptic number.

2002121121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2002121121 is a deficient number, since it is larger than the sum of its proper divisors (1582101087).

2002121121 is a wasteful number, since it uses less digits than its factorization.

2002121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666741.

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

The square root of 2002121121 is about 44745.0681192911. The cubic root of 2002121121 is about 1260.3663000266.

Adding to 2002121121 its reverse (1211212002), we get a palindrome (3213333123).

It can be divided in two parts, 2002 and 121121, that multiplied together give a palindrome (242484242).

The spelling of 2002121121 in words is "two billion, two million, one hundred twenty-one thousand, one hundred twenty-one".