10205939708501 has 2 divisors, whose sum is σ = 10205939708502. Its totient is φ = 10205939708500.

The previous prime is 10205939708473. The next prime is 10205939708507. The reversal of 10205939708501 is 10580793950201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10202108717476 + 3830991025 = 3194074^2 + 61895^2 .

It is a cyclic number.

It is not a de Polignac number, because 10205939708501 - 2¹⁰ = 10205939707477 is a prime.

It is a super-2 number, since 2×10205939708501² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10205939708501.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10205939708507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5102969854250 + 5102969854251.

It is an arithmetic number, because the mean of its divisors is an integer number (5102969854251).

Almost surely, 2^{10205939708501} is an apocalyptic number.

It is an amenable number.

10205939708501 is a deficient number, since it is larger than the sum of its proper divisors (1).

10205939708501 is an equidigital number, since it uses as much as digits as its factorization.

10205939708501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 680400, while the sum is 50.

The spelling of 10205939708501 in words is "ten trillion, two hundred five billion, nine hundred thirty-nine million, seven hundred eight thousand, five hundred one".