320000100010001 has 2 divisors, whose sum is σ = 320000100010002. Its totient is φ = 320000100010000.

The previous prime is 320000100009973. The next prime is 320000100010039. The reversal of 320000100010001 is 100010001000023.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 304230305955601 + 15769794054400 = 17442199^2 + 3971120^2 .

It is an emirp because it is prime and its reverse (100010001000023) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 320000100010001 - 2¹⁸ = 320000099747857 is a prime.

320000100010001 is a modest number, since divided by 100010001 gives 320 as remainder.

It is not a weakly prime, because it can be changed into another prime (320000160010001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160000050005000 + 160000050005001.

It is an arithmetic number, because the mean of its divisors is an integer number (160000050005001).

Almost surely, 2^{320000100010001} is an apocalyptic number.

It is an amenable number.

320000100010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

320000100010001 is an equidigital number, since it uses as much as digits as its factorization.

320000100010001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 320000100010001 its reverse (100010001000023), we get a palindrome (420010101010024).

The spelling of 320000100010001 in words is "three hundred twenty trillion, one hundred million, ten thousand, one".