10334039743201 has 2 divisors, whose sum is σ = 10334039743202. Its totient is φ = 10334039743200.

The previous prime is 10334039743103. The next prime is 10334039743207. The reversal of 10334039743201 is 10234793043301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9657171544801 + 676868198400 = 3107599^2 + 822720^2 .

It is a cyclic number.

It is not a de Polignac number, because 10334039743201 - 2⁴³ = 1537946720993 is a prime.

It is not a weakly prime, because it can be changed into another prime (10334039743207) 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, 5167019871600 + 5167019871601.

It is an arithmetic number, because the mean of its divisors is an integer number (5167019871601).

Almost surely, 2^{10334039743201} is an apocalyptic number.

It is an amenable number.

10334039743201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10334039743201 is an equidigital number, since it uses as much as digits as its factorization.

10334039743201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 163296, while the sum is 40.

The spelling of 10334039743201 in words is "ten trillion, three hundred thirty-four billion, thirty-nine million, seven hundred forty-three thousand, two hundred one".