10414003121 has 8 divisors (see below), whose sum is σ = 10579794504. Its totient is φ = 10248837120.

The previous prime is 10414003099. The next prime is 10414003139. The reversal of 10414003121 is 12130041401.

It is a happy number.

10414003121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6644043121 + 3769960000 = 81511^2 + 61400^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10414003121 - 2⁶ = 10414003057 is a prime.

It is a super-2 number, since 2×10414003121² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10414003121.

It is not an unprimeable number, because it can be changed into a prime (10414003921) 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 7 ways as a sum of consecutive naturals, for example, 122720 + ... + 189441.

It is an arithmetic number, because the mean of its divisors is an integer number (1322474313).

Almost surely, 2^10414003121 is an apocalyptic number.

It is an amenable number.

10414003121 is a deficient number, since it is larger than the sum of its proper divisors (165791383).

10414003121 is an equidigital number, since it uses as much as digits as its factorization.

10414003121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312691.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10414003121 its reverse (12130041401), we get a palindrome (22544044522).

The spelling of 10414003121 in words is "ten billion, four hundred fourteen million, three thousand, one hundred twenty-one".