2102022333329 has 2 divisors, whose sum is σ = 2102022333330. Its totient is φ = 2102022333328.

The previous prime is 2102022333269. The next prime is 2102022333331. The reversal of 2102022333329 is 9233332202012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1496462890000 + 605559443329 = 1223300^2 + 778177^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102022333329 - 2³⁶ = 2033302856593 is a prime.

Together with 2102022333331, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2102022333295 and 2102022333304.

It is not a weakly prime, because it can be changed into another prime (2102021333329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051011166664 + 1051011166665.

It is an arithmetic number, because the mean of its divisors is an integer number (1051011166665).

Almost surely, 2^{2102022333329} is an apocalyptic number.

It is an amenable number.

2102022333329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102022333329 is an equidigital number, since it uses as much as digits as its factorization.

2102022333329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 32.

The spelling of 2102022333329 in words is "two trillion, one hundred two billion, twenty-two million, three hundred thirty-three thousand, three hundred twenty-nine".