110001011012257 has 2 divisors, whose sum is σ = 110001011012258. Its totient is φ = 110001011012256.

The previous prime is 110001011012227. The next prime is 110001011012287. The reversal of 110001011012257 is 752210110100011.

It is a balanced prime because it is at equal distance from previous prime (110001011012227) and next prime (110001011012287).

It can be written as a sum of positive squares in only one way, i.e., 62718939581841 + 47282071430416 = 7919529^2 + 6876196^2 .

It is a cyclic number.

It is not a de Polignac number, because 110001011012257 - 2¹⁹ = 110001010487969 is a prime.

It is not a weakly prime, because it can be changed into another prime (110001011012227) 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, 55000505506128 + 55000505506129.

It is an arithmetic number, because the mean of its divisors is an integer number (55000505506129).

Almost surely, 2^{110001011012257} is an apocalyptic number.

It is an amenable number.

110001011012257 is a deficient number, since it is larger than the sum of its proper divisors (1).

110001011012257 is an equidigital number, since it uses as much as digits as its factorization.

110001011012257 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 22.

Adding to 110001011012257 its reverse (752210110100011), we get a palindrome (862211121112268).

The spelling of 110001011012257 in words is "one hundred ten trillion, one billion, eleven million, twelve thousand, two hundred fifty-seven".