10001111100257 has 2 divisors, whose sum is σ = 10001111100258. Its totient is φ = 10001111100256.

The previous prime is 10001111100247. The next prime is 10001111100289. The reversal of 10001111100257 is 75200111110001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8701137153361 + 1299973946896 = 2949769^2 + 1140164^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001111100257 - 2¹⁸ = 10001110838113 is a prime.

It is a super-2 number, since 2×10001111100257² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10001111100247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000555550128 + 5000555550129.

It is an arithmetic number, because the mean of its divisors is an integer number (5000555550129).

Almost surely, 2^{10001111100257} is an apocalyptic number.

It is an amenable number.

10001111100257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001111100257 is an equidigital number, since it uses as much as digits as its factorization.

10001111100257 is an evil number, because the sum of its binary digits is even.

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

Adding to 10001111100257 its reverse (75200111110001), we get a palindrome (85201222210258).

The spelling of 10001111100257 in words is "ten trillion, one billion, one hundred eleven million, one hundred thousand, two hundred fifty-seven".