412101727101241 has 2 divisors, whose sum is σ = 412101727101242. Its totient is φ = 412101727101240.

The previous prime is 412101727101193. The next prime is 412101727101247. The reversal of 412101727101241 is 142101727101214.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 319987878122025 + 92113848979216 = 17888205^2 + 9597596^2 .

It is a cyclic number.

It is not a de Polignac number, because 412101727101241 - 2³³ = 412093137166649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 412101727101197 and 412101727101206.

It is not a weakly prime, because it can be changed into another prime (412101727101247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206050863550620 + 206050863550621.

It is an arithmetic number, because the mean of its divisors is an integer number (206050863550621).

Almost surely, 2^{412101727101241} is an apocalyptic number.

It is an amenable number.

412101727101241 is a deficient number, since it is larger than the sum of its proper divisors (1).

412101727101241 is an equidigital number, since it uses as much as digits as its factorization.

412101727101241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6272, while the sum is 34.

The spelling of 412101727101241 in words is "four hundred twelve trillion, one hundred one billion, seven hundred twenty-seven million, one hundred one thousand, two hundred forty-one".