10102400393 has 2 divisors, whose sum is σ = 10102400394. Its totient is φ = 10102400392.

The previous prime is 10102400387. The next prime is 10102400449. The reversal of 10102400393 is 39300420101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8610355264 + 1492045129 = 92792^2 + 38627^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102400393 - 2¹⁶ = 10102334857 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10102400303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051200196 + 5051200197.

It is an arithmetic number, because the mean of its divisors is an integer number (5051200197).

Almost surely, 2^10102400393 is an apocalyptic number.

It is an amenable number.

10102400393 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102400393 is an equidigital number, since it uses as much as digits as its factorization.

10102400393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 10102400393 its reverse (39300420101), we get a palindrome (49402820494).

The spelling of 10102400393 in words is "ten billion, one hundred two million, four hundred thousand, three hundred ninety-three".