110001111001157 has 2 divisors, whose sum is σ = 110001111001158. Its totient is φ = 110001111001156.

The previous prime is 110001111001091. The next prime is 110001111001181. The reversal of 110001111001157 is 751100111100011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97564492620676 + 12436618380481 = 9877474^2 + 3526559^2 .

It is a cyclic number.

It is not a de Polignac number, because 110001111001157 - 2¹⁴ = 110001110984773 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110001111001057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55000555500578 + 55000555500579.

It is an arithmetic number, because the mean of its divisors is an integer number (55000555500579).

Almost surely, 2^{110001111001157} is an apocalyptic number.

It is an amenable number.

110001111001157 is a deficient number, since it is larger than the sum of its proper divisors (1).

110001111001157 is an equidigital number, since it uses as much as digits as its factorization.

110001111001157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 35, while the sum is 20.

Adding to 110001111001157 its reverse (751100111100011), we get a palindrome (861101222101168).

The spelling of 110001111001157 in words is "one hundred ten trillion, one billion, one hundred eleven million, one thousand, one hundred fifty-seven".