10000959646001 has 2 divisors, whose sum is σ = 10000959646002. Its totient is φ = 10000959646000.

The previous prime is 10000959645889. The next prime is 10000959646033. The reversal of 10000959646001 is 10064695900001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8975722394401 + 1025237251600 = 2995951^2 + 1012540^2 .

It is an emirp because it is prime and its reverse (10064695900001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000959646001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10000959646001.

It is not a weakly prime, because it can be changed into another prime (10000959646091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000479823000 + 5000479823001.

It is an arithmetic number, because the mean of its divisors is an integer number (5000479823001).

Almost surely, 2^{10000959646001} is an apocalyptic number.

It is an amenable number.

10000959646001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000959646001 is an equidigital number, since it uses as much as digits as its factorization.

10000959646001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58320, while the sum is 41.

The spelling of 10000959646001 in words is "ten trillion, nine hundred fifty-nine million, six hundred forty-six thousand, one".