110001101000101 has 2 divisors, whose sum is σ = 110001101000102. Its totient is φ = 110001101000100.

The previous prime is 110001101000093. The next prime is 110001101000201. The reversal of 110001101000101 is 101000101100011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104775716472001 + 5225384528100 = 10236001^2 + 2285910^2 .

It is a cyclic number.

It is not a de Polignac number, because 110001101000101 - 2³ = 110001101000093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110001101000201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55000550500050 + 55000550500051.

It is an arithmetic number, because the mean of its divisors is an integer number (55000550500051).

Almost surely, 2^{110001101000101} is an apocalyptic number.

It is an amenable number.

110001101000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110001101000101 is an equidigital number, since it uses as much as digits as its factorization.

110001101000101 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 7.

Adding to 110001101000101 its reverse (101000101100011), we get a palindrome (211001202100112).

The spelling of 110001101000101 in words is "one hundred ten trillion, one billion, one hundred one million, one hundred one", and thus it is an aban number.