110111111100101 has 2 divisors, whose sum is σ = 110111111100102. Its totient is φ = 110111111100100.

The previous prime is 110111111100097. The next prime is 110111111100163. The reversal of 110111111100101 is 101001111111011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64889050279876 + 45222060820225 = 8055374^2 + 6724735^2 .

It is an emirp because it is prime and its reverse (101001111111011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110111111100101 - 2² = 110111111100097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110111111103101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55055555550050 + 55055555550051.

It is an arithmetic number, because the mean of its divisors is an integer number (55055555550051).

Almost surely, 2^{110111111100101} is an apocalyptic number.

It is an amenable number.

110111111100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110111111100101 is an equidigital number, since it uses as much as digits as its factorization.

110111111100101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 110111111100101 its reverse (101001111111011), we get a palindrome (211112222211112).

The spelling of 110111111100101 in words is "one hundred ten trillion, one hundred eleven billion, one hundred eleven million, one hundred thousand, one hundred one".