1011001110257 has 2 divisors, whose sum is σ = 1011001110258. Its totient is φ = 1011001110256.

The previous prime is 1011001110167. The next prime is 1011001110263. The reversal of 1011001110257 is 7520111001101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1002319343281 + 8681766976 = 1001159^2 + 93176^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011001110257 - 2¹⁸ = 1011000848113 is a prime.

It is not a weakly prime, because it can be changed into another prime (1011001110157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505500555128 + 505500555129.

It is an arithmetic number, because the mean of its divisors is an integer number (505500555129).

Almost surely, 2^{1011001110257} is an apocalyptic number.

It is an amenable number.

1011001110257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011001110257 is an equidigital number, since it uses as much as digits as its factorization.

1011001110257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70, while the sum is 20.

Adding to 1011001110257 its reverse (7520111001101), we get a palindrome (8531112111358).

The spelling of 1011001110257 in words is "one trillion, eleven billion, one million, one hundred ten thousand, two hundred fifty-seven".