10011122111257 has 2 divisors, whose sum is σ = 10011122111258. Its totient is φ = 10011122111256.

The previous prime is 10011122111141. The next prime is 10011122111297. The reversal of 10011122111257 is 75211122111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6990439875136 + 3020682236121 = 2643944^2 + 1738011^2 .

It is an emirp because it is prime and its reverse (75211122111001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10011122111257 is a prime.

It is a super-2 number, since 2×10011122111257² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10011122111297) 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, 5005561055628 + 5005561055629.

It is an arithmetic number, because the mean of its divisors is an integer number (5005561055629).

Almost surely, 2^{10011122111257} is an apocalyptic number.

It is an amenable number.

10011122111257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011122111257 is an equidigital number, since it uses as much as digits as its factorization.

10011122111257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 25.

Adding to 10011122111257 its reverse (75211122111001), we get a palindrome (85222244222258).

The spelling of 10011122111257 in words is "ten trillion, eleven billion, one hundred twenty-two million, one hundred eleven thousand, two hundred fifty-seven".