2002312233121 has 2 divisors, whose sum is σ = 2002312233122. Its totient is φ = 2002312233120.

The previous prime is 2002312233113. The next prime is 2002312233149. The reversal of 2002312233121 is 1213322132002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1994975454096 + 7336779025 = 1412436^2 + 85655^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002312233121 - 2³ = 2002312233113 is a prime.

It is a super-3 number, since 3×2002312233121³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2002312233092 and 2002312233101.

It is not a weakly prime, because it can be changed into another prime (2002312233161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001156116560 + 1001156116561.

It is an arithmetic number, because the mean of its divisors is an integer number (1001156116561).

Almost surely, 2^{2002312233121} is an apocalyptic number.

It is an amenable number.

2002312233121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002312233121 is an equidigital number, since it uses as much as digits as its factorization.

2002312233121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2002312233121 its reverse (1213322132002), we get a palindrome (3215634365123).

The spelling of 2002312233121 in words is "two trillion, two billion, three hundred twelve million, two hundred thirty-three thousand, one hundred twenty-one".