10412411221121 has 32 divisors (see below), whose sum is σ = 13695929452800. Its totient is φ = 7681314686976.

The previous prime is 10412411221103. The next prime is 10412411221129. The reversal of 10412411221121 is 12112211421401.

It is not a de Polignac number, because 10412411221121 - 2⁴² = 6014364710017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10412411221129) 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 31 ways as a sum of consecutive naturals, for example, 31286396 + ... + 31617453.

It is an arithmetic number, because the mean of its divisors is an integer number (427997795400).

Almost surely, 2^{10412411221121} is an apocalyptic number.

It is an amenable number.

10412411221121 is a deficient number, since it is larger than the sum of its proper divisors (3283518231679).

10412411221121 is a wasteful number, since it uses less digits than its factorization.

10412411221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62903993.

The product of its (nonzero) digits is 256, while the sum is 23.

Adding to 10412411221121 its reverse (12112211421401), we get a palindrome (22524622642522).

The spelling of 10412411221121 in words is "ten trillion, four hundred twelve billion, four hundred eleven million, two hundred twenty-one thousand, one hundred twenty-one".