110110000103101 has 2 divisors, whose sum is σ = 110110000103102. Its totient is φ = 110110000103100.

The previous prime is 110110000103063. The next prime is 110110000103143. The reversal of 110110000103101 is 101301000011011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62035329815001 + 48074670288100 = 7876251^2 + 6933590^2 .

It is a cyclic number.

It is not a de Polignac number, because 110110000103101 - 2⁹ = 110110000102589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110110000103801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55055000051550 + 55055000051551.

It is an arithmetic number, because the mean of its divisors is an integer number (55055000051551).

Almost surely, 2^{110110000103101} is an apocalyptic number.

It is an amenable number.

110110000103101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110110000103101 is an equidigital number, since it uses as much as digits as its factorization.

110110000103101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 110110000103101 its reverse (101301000011011), we get a palindrome (211411000114112).

The spelling of 110110000103101 in words is "one hundred ten trillion, one hundred ten billion, one hundred three thousand, one hundred one".