10412123201 has 2 divisors, whose sum is σ = 10412123202. Its totient is φ = 10412123200.

The previous prime is 10412123167. The next prime is 10412123203. The reversal of 10412123201 is 10232121401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9569730625 + 842392576 = 97825^2 + 29024^2 .

It is a cyclic number.

It is not a de Polignac number, because 10412123201 - 2¹⁰ = 10412122177 is a prime.

Together with 10412123203, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10412123201.

It is not a weakly prime, because it can be changed into another prime (10412123203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5206061600 + 5206061601.

It is an arithmetic number, because the mean of its divisors is an integer number (5206061601).

Almost surely, 2^10412123201 is an apocalyptic number.

It is an amenable number.

10412123201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10412123201 is an equidigital number, since it uses as much as digits as its factorization.

10412123201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10412123201 its reverse (10232121401), we get a palindrome (20644244602).

The spelling of 10412123201 in words is "ten billion, four hundred twelve million, one hundred twenty-three thousand, two hundred one".