110111110011157 has 2 divisors, whose sum is σ = 110111110011158. Its totient is φ = 110111110011156.

The previous prime is 110111110011121. The next prime is 110111110011209. The reversal of 110111110011157 is 751110011111011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109948625238321 + 162484772836 = 10485639^2 + 403094^2 .

It is an emirp because it is prime and its reverse (751110011111011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110111110011157 - 2⁷ = 110111110011029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110111110011857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55055555005578 + 55055555005579.

It is an arithmetic number, because the mean of its divisors is an integer number (55055555005579).

Almost surely, 2^{110111110011157} is an apocalyptic number.

It is an amenable number.

110111110011157 is a deficient number, since it is larger than the sum of its proper divisors (1).

110111110011157 is an equidigital number, since it uses as much as digits as its factorization.

110111110011157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35, while the sum is 22.

Adding to 110111110011157 its reverse (751110011111011), we get a palindrome (861221121122168).

The spelling of 110111110011157 in words is "one hundred ten trillion, one hundred eleven billion, one hundred ten million, eleven thousand, one hundred fifty-seven".