823072122001 has 2 divisors, whose sum is σ = 823072122002. Its totient is φ = 823072122000.

The previous prime is 823072121999. The next prime is 823072122013. The reversal of 823072122001 is 100221270328.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 597683610000 + 225388512001 = 773100^2 + 474751^2 .

It is a cyclic number.

It is not a de Polignac number, because 823072122001 - 2¹ = 823072121999 is a prime.

Together with 823072121999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (823072120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411536061000 + 411536061001.

It is an arithmetic number, because the mean of its divisors is an integer number (411536061001).

Almost surely, 2^823072122001 is an apocalyptic number.

It is an amenable number.

823072122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

823072122001 is an equidigital number, since it uses as much as digits as its factorization.

823072122001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 28.

Adding to 823072122001 its reverse (100221270328), we get a palindrome (923293392329).

The spelling of 823072122001 in words is "eight hundred twenty-three billion, seventy-two million, one hundred twenty-two thousand, one".