10110414001241 has 2 divisors, whose sum is σ = 10110414001242. Its totient is φ = 10110414001240.

The previous prime is 10110414001199. The next prime is 10110414001283. The reversal of 10110414001241 is 14210041401101.

It is a balanced prime because it is at equal distance from previous prime (10110414001199) and next prime (10110414001283).

It can be written as a sum of positive squares in only one way, i.e., 9523396000000 + 587018001241 = 3086000^2 + 766171^2 .

It is a cyclic number.

It is not a de Polignac number, because 10110414001241 - 2¹⁴ = 10110413984857 is a prime.

It is not a weakly prime, because it can be changed into another prime (10110414031241) 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 as a sum of consecutive naturals, namely, 5055207000620 + 5055207000621.

It is an arithmetic number, because the mean of its divisors is an integer number (5055207000621).

Almost surely, 2^{10110414001241} is an apocalyptic number.

It is an amenable number.

10110414001241 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110414001241 is an equidigital number, since it uses as much as digits as its factorization.

10110414001241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 10110414001241 its reverse (14210041401101), we get a palindrome (24320455402342).

The spelling of 10110414001241 in words is "ten trillion, one hundred ten billion, four hundred fourteen million, one thousand, two hundred forty-one".