10405301121 has 48 divisors (see below), whose sum is σ = 15863037120. Its totient is φ = 6740858880.

The previous prime is 10405301107. The next prime is 10405301147. The reversal of 10405301121 is 12110350401.

10405301121 is a `hidden beast` number, since 10 + 4 + 0 + 530 + 1 + 121 = 666.

It is not a de Polignac number, because 10405301121 - 2¹³ = 10405292929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10405301094 and 10405301103.

It is not an unprimeable number, because it can be changed into a prime (10405301171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12829806 + ... + 12830616.

It is an arithmetic number, because the mean of its divisors is an integer number (330479940).

Almost surely, 2^10405301121 is an apocalyptic number.

It is an amenable number.

10405301121 is a deficient number, since it is larger than the sum of its proper divisors (5457735999).

10405301121 is an equidigital number, since it uses as much as digits as its factorization.

10405301121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 10405301121 its reverse (12110350401), we get a palindrome (22515651522).

The spelling of 10405301121 in words is "ten billion, four hundred five million, three hundred one thousand, one hundred twenty-one".