10041533105201 has 32 divisors (see below), whose sum is σ = 12064542537600. Its totient is φ = 8256600898560.

The previous prime is 10041533105119. The next prime is 10041533105203. The reversal of 10041533105201 is 10250133514001.

It is a cyclic number.

It is not a de Polignac number, because 10041533105201 - 2¹⁴ = 10041533088817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10041533105203) 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 in 31 ways as a sum of consecutive naturals, for example, 3105371 + ... + 5452191.

It is an arithmetic number, because the mean of its divisors is an integer number (377016954300).

Almost surely, 2^{10041533105201} is an apocalyptic number.

It is an amenable number.

10041533105201 is a deficient number, since it is larger than the sum of its proper divisors (2023009432399).

10041533105201 is a wasteful number, since it uses less digits than its factorization.

10041533105201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347889.

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 10041533105201 its reverse (10250133514001), we get a palindrome (20291666619202).

The spelling of 10041533105201 in words is "ten trillion, forty-one billion, five hundred thirty-three million, one hundred five thousand, two hundred one".