110010110110001 has 2 divisors, whose sum is σ = 110010110110002. Its totient is φ = 110010110110000.

The previous prime is 110010110109989. The next prime is 110010110110007. The reversal of 110010110110001 is 100011011010011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70869458560000 + 39140651550001 = 8418400^2 + 6256249^2 .

It is an emirp because it is prime and its reverse (100011011010011) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110010110110001 is a prime.

It is not a weakly prime, because it can be changed into another prime (110010110110007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55005055055000 + 55005055055001.

It is an arithmetic number, because the mean of its divisors is an integer number (55005055055001).

Almost surely, 2^{110010110110001} is an apocalyptic number.

It is an amenable number.

110010110110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

110010110110001 is an equidigital number, since it uses as much as digits as its factorization.

110010110110001 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 8.

Adding to 110010110110001 its reverse (100011011010011), we get a palindrome (210021121120012).

The spelling of 110010110110001 in words is "one hundred ten trillion, ten billion, one hundred ten million, one hundred ten thousand, one".