10712102605349 has 2 divisors, whose sum is σ = 10712102605350. Its totient is φ = 10712102605348.

The previous prime is 10712102605333. The next prime is 10712102605403. The reversal of 10712102605349 is 94350620121701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8473135048225 + 2238967557124 = 2910865^2 + 1496318^2 .

It is a cyclic number.

It is not a de Polignac number, because 10712102605349 - 2⁴ = 10712102605333 is a prime.

It is a super-2 number, since 2×10712102605349² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10712102605249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5356051302674 + 5356051302675.

It is an arithmetic number, because the mean of its divisors is an integer number (5356051302675).

Almost surely, 2^{10712102605349} is an apocalyptic number.

It is an amenable number.

10712102605349 is a deficient number, since it is larger than the sum of its proper divisors (1).

10712102605349 is an equidigital number, since it uses as much as digits as its factorization.

10712102605349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 41.

The spelling of 10712102605349 in words is "ten trillion, seven hundred twelve billion, one hundred two million, six hundred five thousand, three hundred forty-nine".