10412101121 has 2 divisors, whose sum is σ = 10412101122. Its totient is φ = 10412101120.

The previous prime is 10412101111. The next prime is 10412101237. The reversal of 10412101121 is 12110121401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6632310721 + 3779790400 = 81439^2 + 61480^2 .

It is a cyclic number.

It is not a de Polignac number, because 10412101121 - 2¹⁸ = 10411838977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10412101096 and 10412101105.

It is not a weakly prime, because it can be changed into another prime (10412101111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5206050560 + 5206050561.

It is an arithmetic number, because the mean of its divisors is an integer number (5206050561).

Almost surely, 2^10412101121 is an apocalyptic number.

It is an amenable number.

10412101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10412101121 is an equidigital number, since it uses as much as digits as its factorization.

10412101121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10412101121 its reverse (12110121401), we get a palindrome (22522222522).

The spelling of 10412101121 in words is "ten billion, four hundred twelve million, one hundred one thousand, one hundred twenty-one".