10041505550201 has 2 divisors, whose sum is σ = 10041505550202. Its totient is φ = 10041505550200.

The previous prime is 10041505550183. The next prime is 10041505550213. The reversal of 10041505550201 is 10205550514001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7874191597801 + 2167313952400 = 2806099^2 + 1472180^2 .

It is a cyclic number.

It is not a de Polignac number, because 10041505550201 - 2⁶ = 10041505550137 is a prime.

It is a super-2 number, since 2×10041505550201² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10041505550221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5020752775100 + 5020752775101.

It is an arithmetic number, because the mean of its divisors is an integer number (5020752775101).

Almost surely, 2^{10041505550201} is an apocalyptic number.

It is an amenable number.

10041505550201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10041505550201 is an equidigital number, since it uses as much as digits as its factorization.

10041505550201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5000, while the sum is 29.

The spelling of 10041505550201 in words is "ten trillion, forty-one billion, five hundred five million, five hundred fifty thousand, two hundred one".