2002121112241 has 2 divisors, whose sum is σ = 2002121112242. Its totient is φ = 2002121112240.

The previous prime is 2002121112181. The next prime is 2002121112263. The reversal of 2002121112241 is 1422111212002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1847231638641 + 154889473600 = 1359129^2 + 393560^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002121112241 - 2²¹ = 2002119015089 is a prime.

It is a super-2 number, since 2×2002121112241² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2002121112041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001060556120 + 1001060556121.

It is an arithmetic number, because the mean of its divisors is an integer number (1001060556121).

Almost surely, 2^{2002121112241} is an apocalyptic number.

It is an amenable number.

2002121112241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002121112241 is an equidigital number, since it uses as much as digits as its factorization.

2002121112241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 2002121112241 its reverse (1422111212002), we get a palindrome (3424232324243).

The spelling of 2002121112241 in words is "two trillion, two billion, one hundred twenty-one million, one hundred twelve thousand, two hundred forty-one".