410132122000121 has 16 divisors (see below), whose sum is σ = 420670063432080. Its totient is φ = 399732514790400.

The previous prime is 410132122000063. The next prime is 410132122000141. The reversal of 410132122000121 is 121000221231014.

It can be written as a sum of positive squares in 8 ways, for example, as 1444657359721 + 408687464640400 = 1201939^2 + 20216020^2 .

It is a cyclic number.

It is not a de Polignac number, because 410132122000121 - 2³⁴ = 410114942130937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 410132122000093 and 410132122000102.

It is not an unprimeable number, because it can be changed into a prime (410132122000141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7643930 + ... + 29642771.

It is an arithmetic number, because the mean of its divisors is an integer number (26291878964505).

Almost surely, 2^{410132122000121} is an apocalyptic number.

It is an amenable number.

410132122000121 is a deficient number, since it is larger than the sum of its proper divisors (10537941431959).

410132122000121 is a wasteful number, since it uses less digits than its factorization.

410132122000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37288556.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 410132122000121 its reverse (121000221231014), we get a palindrome (531132343231135).

The spelling of 410132122000121 in words is "four hundred ten trillion, one hundred thirty-two billion, one hundred twenty-two million, one hundred twenty-one", and thus it is an aban number.