3321122034961 has 2 divisors, whose sum is σ = 3321122034962. Its totient is φ = 3321122034960.

The previous prime is 3321122034959. The next prime is 3321122035013. The reversal of 3321122034961 is 1694302211233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2048422175361 + 1272699859600 = 1431231^2 + 1128140^2 .

It is a cyclic number.

It is not a de Polignac number, because 3321122034961 - 2¹ = 3321122034959 is a prime.

It is a super-2 number, since 2×3321122034961² (a number of 26 digits) contains 22 as substring.

Together with 3321122034959, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 3321122034961.

It is not a weakly prime, because it can be changed into another prime (3321122034941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1660561017480 + 1660561017481.

It is an arithmetic number, because the mean of its divisors is an integer number (1660561017481).

Almost surely, 2^{3321122034961} is an apocalyptic number.

It is an amenable number.

3321122034961 is a deficient number, since it is larger than the sum of its proper divisors (1).

3321122034961 is an equidigital number, since it uses as much as digits as its factorization.

3321122034961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 3321122034961 in words is "three trillion, three hundred twenty-one billion, one hundred twenty-two million, thirty-four thousand, nine hundred sixty-one".