10120040257 has 2 divisors, whose sum is σ = 10120040258. Its totient is φ = 10120040256.

The previous prime is 10120040233. The next prime is 10120040267. The reversal of 10120040257 is 75204002101.

It is a happy number.

10120040257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10113118096 + 6922161 = 100564^2 + 2631^2 .

It is an emirp because it is prime and its reverse (75204002101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10120040257 - 2¹⁵ = 10120007489 is a prime.

It is not a weakly prime, because it can be changed into another prime (10120040267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060020128 + 5060020129.

It is an arithmetic number, because the mean of its divisors is an integer number (5060020129).

Almost surely, 2^10120040257 is an apocalyptic number.

It is an amenable number.

10120040257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120040257 is an equidigital number, since it uses as much as digits as its factorization.

10120040257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 22.

Adding to 10120040257 its reverse (75204002101), we get a palindrome (85324042358).

The spelling of 10120040257 in words is "ten billion, one hundred twenty million, forty thousand, two hundred fifty-seven".