10123221257 has 2 divisors, whose sum is σ = 10123221258. Its totient is φ = 10123221256.

The previous prime is 10123221193. The next prime is 10123221259. The reversal of 10123221257 is 75212232101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6225841216 + 3897380041 = 78904^2 + 62429^2 .

It is an emirp because it is prime and its reverse (75212232101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10123221257 - 2⁶ = 10123221193 is a prime.

Together with 10123221259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10123221259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061610628 + 5061610629.

It is an arithmetic number, because the mean of its divisors is an integer number (5061610629).

Almost surely, 2^10123221257 is an apocalyptic number.

It is an amenable number.

10123221257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123221257 is an equidigital number, since it uses as much as digits as its factorization.

10123221257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1680, while the sum is 26.

Adding to 10123221257 its reverse (75212232101), we get a palindrome (85335453358).

The spelling of 10123221257 in words is "ten billion, one hundred twenty-three million, two hundred twenty-one thousand, two hundred fifty-seven".