110000011080101 has 2 divisors, whose sum is σ = 110000011080102. Its totient is φ = 110000011080100.

The previous prime is 110000011080077. The next prime is 110000011080119. The reversal of 110000011080101 is 101080110000011.

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., 89856161604001 + 20143849476100 = 9479249^2 + 4488190^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110000011080101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110000011080191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55000005540050 + 55000005540051.

It is an arithmetic number, because the mean of its divisors is an integer number (55000005540051).

Almost surely, 2^{110000011080101} is an apocalyptic number.

It is an amenable number.

110000011080101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110000011080101 is an equidigital number, since it uses as much as digits as its factorization.

110000011080101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 110000011080101 its reverse (101080110000011), we get a palindrome (211080121080112).

The spelling of 110000011080101 in words is "one hundred ten trillion, eleven million, eighty thousand, one hundred one".