110005611101 has 2 divisors, whose sum is σ = 110005611102. Its totient is φ = 110005611100.

The previous prime is 110005611091. The next prime is 110005611119. The reversal of 110005611101 is 101116500011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94217688601 + 15787922500 = 306949^2 + 125650^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110005611101 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 110005611101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110005611601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55002805550 + 55002805551.

It is an arithmetic number, because the mean of its divisors is an integer number (55002805551).

Almost surely, 2^110005611101 is an apocalyptic number.

It is an amenable number.

110005611101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110005611101 is an equidigital number, since it uses as much as digits as its factorization.

110005611101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30, while the sum is 17.

The spelling of 110005611101 in words is "one hundred ten billion, five million, six hundred eleven thousand, one hundred one".