1010000120257 has 2 divisors, whose sum is σ = 1010000120258. Its totient is φ = 1010000120256.

The previous prime is 1010000120191. The next prime is 1010000120303. The reversal of 1010000120257 is 7520210000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 816509224881 + 193490895376 = 903609^2 + 439876^2 .

It is an emirp because it is prime and its reverse (7520210000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1010000120257 - 2¹⁵ = 1010000087489 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010000720257) 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, 505000060128 + 505000060129.

It is an arithmetic number, because the mean of its divisors is an integer number (505000060129).

Almost surely, 2^{1010000120257} is an apocalyptic number.

It is an amenable number.

1010000120257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010000120257 is an equidigital number, since it uses as much as digits as its factorization.

1010000120257 is an odious number, because the sum of its binary digits is odd.

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

Adding to 1010000120257 its reverse (7520210000101), we get a palindrome (8530210120358).

The spelling of 1010000120257 in words is "one trillion, ten billion, one hundred twenty thousand, two hundred fifty-seven".