2002121112181 has 2 divisors, whose sum is σ = 2002121112182. Its totient is φ = 2002121112180.

The previous prime is 2002121112179. The next prime is 2002121112241. The reversal of 2002121112181 is 1812111212002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1354916952081 + 647204160100 = 1164009^2 + 804490^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002121112181 - 2¹ = 2002121112179 is a prime.

It is a super-2 number, since 2×2002121112181² (a number of 25 digits) contains 22 as substring.

Together with 2002121112179, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002121119181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001060556090 + 1001060556091.

It is an arithmetic number, because the mean of its divisors is an integer number (1001060556091).

Almost surely, 2^{2002121112181} is an apocalyptic number.

It is an amenable number.

2002121112181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002121112181 is an equidigital number, since it uses as much as digits as its factorization.

2002121112181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 22.

Adding to 2002121112181 its reverse (1812111212002), we get a palindrome (3814232324183).

The spelling of 2002121112181 in words is "two trillion, two billion, one hundred twenty-one million, one hundred twelve thousand, one hundred eighty-one".