10204412117 has 2 divisors, whose sum is σ = 10204412118. Its totient is φ = 10204412116.

The previous prime is 10204412107. The next prime is 10204412159. The reversal of 10204412117 is 71121440201.

10204412117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7266880516 + 2937531601 = 85246^2 + 54199^2 .

It is a cyclic number.

It is not a de Polignac number, because 10204412117 - 2¹² = 10204408021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10204412092 and 10204412101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10204412107) 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, 5102206058 + 5102206059.

It is an arithmetic number, because the mean of its divisors is an integer number (5102206059).

Almost surely, 2^10204412117 is an apocalyptic number.

It is an amenable number.

10204412117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10204412117 is an equidigital number, since it uses as much as digits as its factorization.

10204412117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448, while the sum is 23.

Adding to 10204412117 its reverse (71121440201), we get a palindrome (81325852318).

The spelling of 10204412117 in words is "ten billion, two hundred four million, four hundred twelve thousand, one hundred seventeen".