10205510010433 has 2 divisors, whose sum is σ = 10205510010434. Its totient is φ = 10205510010432.

The previous prime is 10205510010389. The next prime is 10205510010461. The reversal of 10205510010433 is 33401001550201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9942373841409 + 263136169024 = 3153153^2 + 512968^2 .

It is a cyclic number.

It is not a de Polignac number, because 10205510010433 - 2¹³ = 10205510002241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10205510010398 and 10205510010407.

It is not a weakly prime, because it can be changed into another prime (10205510010733) 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, 5102755005216 + 5102755005217.

It is an arithmetic number, because the mean of its divisors is an integer number (5102755005217).

Almost surely, 2^{10205510010433} is an apocalyptic number.

It is an amenable number.

10205510010433 is a deficient number, since it is larger than the sum of its proper divisors (1).

10205510010433 is an equidigital number, since it uses as much as digits as its factorization.

10205510010433 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 10205510010433 its reverse (33401001550201), we get a palindrome (43606511560634).

The spelling of 10205510010433 in words is "ten trillion, two hundred five billion, five hundred ten million, ten thousand, four hundred thirty-three".