110101100000101 has 4 divisors (see below), whose sum is σ = 125829828571552. Its totient is φ = 94372371428652.

The previous prime is 110101100000077. The next prime is 110101100000141. The reversal of 110101100000101 is 101000001101011.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 110101100000101 - 2⁷ = 110101099999973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7), and also a Moran number because the ratio is a prime number: 15728728571443 = 110101100000101 / (1 + 1 + 0 + 1 + 0 + 1 + 1 + 0 + 0 + 0 + 0 + 0 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110101100000141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7864364285715 + ... + 7864364285728.

It is an arithmetic number, because the mean of its divisors is an integer number (31457457142888).

Almost surely, 2^{110101100000101} is an apocalyptic number.

It is an amenable number.

110101100000101 is a deficient number, since it is larger than the sum of its proper divisors (15728728571451).

110101100000101 is an equidigital number, since it uses as much as digits as its factorization.

110101100000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15728728571450.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 110101100000101 its reverse (101000001101011), we get a palindrome (211101101101112).

The spelling of 110101100000101 in words is "one hundred ten trillion, one hundred one billion, one hundred million, one hundred one", and thus it is an aban number.