110100111041 has 2 divisors, whose sum is σ = 110100111042. Its totient is φ = 110100111040.

The previous prime is 110100111029. The next prime is 110100111047. The reversal of 110100111041 is 140111001011.

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., 110038158400 + 61952641 = 331720^2 + 7871^2 .

It is a cyclic number.

It is not a de Polignac number, because 110100111041 - 2³⁴ = 92920241857 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (110100111047) 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, 55050055520 + 55050055521.

It is an arithmetic number, because the mean of its divisors is an integer number (55050055521).

Almost surely, 2^110100111041 is an apocalyptic number.

It is an amenable number.

110100111041 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100111041 is an equidigital number, since it uses as much as digits as its factorization.

110100111041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 110100111041 its reverse (140111001011), we get a palindrome (250211112052).

The spelling of 110100111041 in words is "one hundred ten billion, one hundred million, one hundred eleven thousand, forty-one".