110101010100101 has 2 divisors, whose sum is σ = 110101010100102. Its totient is φ = 110101010100100.

The previous prime is 110101010100083. The next prime is 110101010100229. The reversal of 110101010100101 is 101001010101011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74808487656100 + 35292522444001 = 8649190^2 + 5940751^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110101010100101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110101010100901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050505050050 + 55050505050051.

It is an arithmetic number, because the mean of its divisors is an integer number (55050505050051).

Almost surely, 2^{110101010100101} is an apocalyptic number.

It is an amenable number.

110101010100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101010100101 is an equidigital number, since it uses as much as digits as its factorization.

110101010100101 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 8.

Adding to 110101010100101 its reverse (101001010101011), we get a palindrome (211102020201112).

The spelling of 110101010100101 in words is "one hundred ten trillion, one hundred one billion, ten million, one hundred thousand, one hundred one".