323212209121001 has 2 divisors, whose sum is σ = 323212209121002. Its totient is φ = 323212209121000.

The previous prime is 323212209120953. The next prime is 323212209121019. The reversal of 323212209121001 is 100121902212323.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 323196834360976 + 15374760025 = 17977676^2 + 123995^2 .

It is an emirp because it is prime and its reverse (100121902212323) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 323212209121001 - 2⁶ = 323212209120937 is a prime.

It is a super-4 number, since 4×323212209121001⁴ (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (323212209121091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 161606104560500 + 161606104560501.

It is an arithmetic number, because the mean of its divisors is an integer number (161606104560501).

Almost surely, 2^{323212209121001} is an apocalyptic number.

It is an amenable number.

323212209121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

323212209121001 is an equidigital number, since it uses as much as digits as its factorization.

323212209121001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 323212209121001 in words is "three hundred twenty-three trillion, two hundred twelve billion, two hundred nine million, one hundred twenty-one thousand, one".