10201106825797 has 2 divisors, whose sum is σ = 10201106825798. Its totient is φ = 10201106825796.

The previous prime is 10201106825759. The next prime is 10201106825801. The reversal of 10201106825797 is 79752860110201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5166351707521 + 5034755118276 = 2272961^2 + 2243826^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201106825797 - 2¹¹ = 10201106823749 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10201106825797.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10201106823797) 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, 5100553412898 + 5100553412899.

It is an arithmetic number, because the mean of its divisors is an integer number (5100553412899).

Almost surely, 2^{10201106825797} is an apocalyptic number.

It is an amenable number.

10201106825797 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201106825797 is an equidigital number, since it uses as much as digits as its factorization.

10201106825797 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 423360, while the sum is 49.

Adding to 10201106825797 its reverse (79752860110201), we get a palindrome (89953966935998).

The spelling of 10201106825797 in words is "ten trillion, two hundred one billion, one hundred six million, eight hundred twenty-five thousand, seven hundred ninety-seven".