110101001 has 2 divisors, whose sum is σ = 110101002. Its totient is φ = 110101000.

The previous prime is 110100997. The next prime is 110101003. The reversal of 110101001 is 100101011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106399225 + 3701776 = 10315^2 + 1924^2 .

It is a cyclic number.

It is not a de Polignac number, because 110101001 - 2² = 110100997 is a prime.

Together with 110101003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (110101003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050500 + 55050501.

It is an arithmetic number, because the mean of its divisors is an integer number (55050501).

Almost surely, 2^110101001 is an apocalyptic number.

It is an amenable number.

110101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101001 is an equidigital number, since it uses as much as digits as its factorization.

110101001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 5.

The square root of 110101001 is about 10492.9024106774. The cubic root of 110101001 is about 479.2885887840.

Adding to 110101001 its reverse (100101011), we get a palindrome (210202012).

The spelling of 110101001 in words is "one hundred ten million, one hundred one thousand, one".