10121257 has 2 divisors, whose sum is σ = 10121258. Its totient is φ = 10121256.

The previous prime is 10121233. The next prime is 10121299. The reversal of 10121257 is 75212101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9803161 + 318096 = 3131^2 + 564^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121257 - 2¹¹ = 10119209 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10131257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060628 + 5060629.

It is an arithmetic number, because the mean of its divisors is an integer number (5060629).

Almost surely, 2^10121257 is an apocalyptic number.

It is an amenable number.

10121257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121257 is an equidigital number, since it uses as much as digits as its factorization.

10121257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 10121257 is about 3181.3923052651. The cubic root of 10121257 is about 216.3107737906.

Adding to 10121257 its reverse (75212101), we get a palindrome (85333358).

The spelling of 10121257 in words is "ten million, one hundred twenty-one thousand, two hundred fifty-seven".