10501205634401 has 4 divisors (see below), whose sum is σ = 10501387207572. Its totient is φ = 10501024061232.

The previous prime is 10501205634373. The next prime is 10501205634461. The reversal of 10501205634401 is 10443650210501.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1969250890000 + 8531954744401 = 1403300^2 + 2920951^2 .

It is a cyclic number.

It is not a de Polignac number, because 10501205634401 - 2⁴² = 6103159123297 is a prime.

It is a super-4 number, since 4×10501205634401⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10501205634461) 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 3 ways as a sum of consecutive naturals, for example, 90699806 + ... + 90815511.

It is an arithmetic number, because the mean of its divisors is an integer number (2625346801893).

Almost surely, 2^{10501205634401} is an apocalyptic number.

It is an amenable number.

10501205634401 is a deficient number, since it is larger than the sum of its proper divisors (181573171).

10501205634401 is an equidigital number, since it uses as much as digits as its factorization.

10501205634401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181573170.

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 10501205634401 its reverse (10443650210501), we get a palindrome (20944855844902).

The spelling of 10501205634401 in words is "ten trillion, five hundred one billion, two hundred five million, six hundred thirty-four thousand, four hundred one".