110000011011001 has 2 divisors, whose sum is σ = 110000011011002. Its totient is φ = 110000011011000.

The previous prime is 110000011010999. The next prime is 110000011011019. The reversal of 110000011011001 is 100110110000011.

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., 93563059840000 + 16436951171001 = 9672800^2 + 4054251^2 .

It is a cyclic number.

It is not a de Polignac number, because 110000011011001 - 2¹ = 110000011010999 is a prime.

Together with 110000011010999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (110000011011031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55000005505500 + 55000005505501.

It is an arithmetic number, because the mean of its divisors is an integer number (55000005505501).

Almost surely, 2^{110000011011001} is an apocalyptic number.

It is an amenable number.

110000011011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

110000011011001 is an equidigital number, since it uses as much as digits as its factorization.

110000011011001 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 7.

Adding to 110000011011001 its reverse (100110110000011), we get a palindrome (210110121011012).

The spelling of 110000011011001 in words is "one hundred ten trillion, eleven million, eleven thousand, one".