101110111111241 has 2 divisors, whose sum is σ = 101110111111242. Its totient is φ = 101110111111240.

The previous prime is 101110111111193. The next prime is 101110111111249. The reversal of 101110111111241 is 142111111011101.

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., 100539525763600 + 570585347641 = 10026940^2 + 755371^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101110111111241 is a prime.

It is not a weakly prime, because it can be changed into another prime (101110111111249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555055555620 + 50555055555621.

It is an arithmetic number, because the mean of its divisors is an integer number (50555055555621).

Almost surely, 2^{101110111111241} is an apocalyptic number.

It is an amenable number.

101110111111241 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110111111241 is an equidigital number, since it uses as much as digits as its factorization.

101110111111241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 17.

Adding to 101110111111241 its reverse (142111111011101), we get a palindrome (243221222122342).

The spelling of 101110111111241 in words is "one hundred one trillion, one hundred ten billion, one hundred eleven million, one hundred eleven thousand, two hundred forty-one".