410112112324129 has 2 divisors, whose sum is σ = 410112112324130. Its totient is φ = 410112112324128.

The previous prime is 410112112324127. The next prime is 410112112324241. The reversal of 410112112324129 is 921423211211014.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 349427389122529 + 60684723201600 = 18692977^2 + 7790040^2 .

It is a cyclic number.

It is not a de Polignac number, because 410112112324129 - 2¹ = 410112112324127 is a prime.

Together with 410112112324127, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 410112112324094 and 410112112324103.

It is not a weakly prime, because it can be changed into another prime (410112112324127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 205056056162064 + 205056056162065.

It is an arithmetic number, because the mean of its divisors is an integer number (205056056162065).

Almost surely, 2^{410112112324129} is an apocalyptic number.

It is an amenable number.

410112112324129 is a deficient number, since it is larger than the sum of its proper divisors (1).

410112112324129 is an equidigital number, since it uses as much as digits as its factorization.

410112112324129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 34.

The spelling of 410112112324129 in words is "four hundred ten trillion, one hundred twelve billion, one hundred twelve million, three hundred twenty-four thousand, one hundred twenty-nine".