10503242400401 has 16 divisors (see below), whose sum is σ = 10577795505408. Its totient is φ = 10429011964800.

The previous prime is 10503242400377. The next prime is 10503242400407. The reversal of 10503242400401 is 10400424230501.

It is a cyclic number.

It is not a de Polignac number, because 10503242400401 - 2²⁶ = 10503175291537 is a prime.

It is a super-2 number, since 2×10503242400401² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10503242400407) 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 15 ways as a sum of consecutive naturals, for example, 96378995 + ... + 96487911.

It is an arithmetic number, because the mean of its divisors is an integer number (661112219088).

Almost surely, 2^{10503242400401} is an apocalyptic number.

It is an amenable number.

10503242400401 is a deficient number, since it is larger than the sum of its proper divisors (74553105007).

10503242400401 is a wasteful number, since it uses less digits than its factorization.

10503242400401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110392.

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 10503242400401 its reverse (10400424230501), we get a palindrome (20903666630902).

The spelling of 10503242400401 in words is "ten trillion, five hundred three billion, two hundred forty-two million, four hundred thousand, four hundred one".