110100111010957 has 2 divisors, whose sum is σ = 110100111010958. Its totient is φ = 110100111010956.

The previous prime is 110100111010909. The next prime is 110100111011071. The reversal of 110100111010957 is 759010111001011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103078109202121 + 7022001808836 = 10152739^2 + 2649906^2 .

It is an emirp because it is prime and its reverse (759010111001011) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110100111010957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110100111010907) 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, 55050055505478 + 55050055505479.

It is an arithmetic number, because the mean of its divisors is an integer number (55050055505479).

Almost surely, 2^{110100111010957} is an apocalyptic number.

It is an amenable number.

110100111010957 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100111010957 is an equidigital number, since it uses as much as digits as its factorization.

110100111010957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 315, while the sum is 28.

Adding to 110100111010957 its reverse (759010111001011), we get a palindrome (869110222011968).

The spelling of 110100111010957 in words is "one hundred ten trillion, one hundred billion, one hundred eleven million, ten thousand, nine hundred fifty-seven".