10503312122401 has 32 divisors (see below), whose sum is σ = 13406764032000. Its totient is φ = 8010539857152.

The previous prime is 10503312122393. The next prime is 10503312122453. The reversal of 10503312122401 is 10422121330501.

It is not a de Polignac number, because 10503312122401 - 2³ = 10503312122393 is a prime.

It is a super-2 number, since 2×10503312122401² (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 (10503312120401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3766071 + ... + 5932108.

It is an arithmetic number, because the mean of its divisors is an integer number (418961376000).

Almost surely, 2^{10503312122401} is an apocalyptic number.

It is an amenable number.

10503312122401 is a deficient number, since it is larger than the sum of its proper divisors (2903451909599).

10503312122401 is a wasteful number, since it uses less digits than its factorization.

10503312122401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9698701.

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 10503312122401 its reverse (10422121330501), we get a palindrome (20925433452902).

The spelling of 10503312122401 in words is "ten trillion, five hundred three billion, three hundred twelve million, one hundred twenty-two thousand, four hundred one".