10114404342257 has 2 divisors, whose sum is σ = 10114404342258. Its totient is φ = 10114404342256.

The previous prime is 10114404342247. The next prime is 10114404342269. The reversal of 10114404342257 is 75224340441101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8966197798321 + 1148206543936 = 2994361^2 + 1071544^2 .

It is a cyclic number.

It is not a de Polignac number, because 10114404342257 - 2⁴ = 10114404342241 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10114404342257.

It is not a weakly prime, because it can be changed into another prime (10114404342247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5057202171128 + 5057202171129.

It is an arithmetic number, because the mean of its divisors is an integer number (5057202171129).

Almost surely, 2^{10114404342257} is an apocalyptic number.

It is an amenable number.

10114404342257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10114404342257 is an equidigital number, since it uses as much as digits as its factorization.

10114404342257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 107520, while the sum is 38.

Adding to 10114404342257 its reverse (75224340441101), we get a palindrome (85338744783358).

The spelling of 10114404342257 in words is "ten trillion, one hundred fourteen billion, four hundred four million, three hundred forty-two thousand, two hundred fifty-seven".