110001011010001 has 8 divisors (see below), whose sum is σ = 110880214526120. Its totient is φ = 109125275753088.

The previous prime is 110001011009987. The next prime is 110001011010017. The reversal of 110001011010001 is 100010110100011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20206814049601 + 89794196960400 = 4495199^2 + 9475980^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 110001011010001 - 2⁹ = 110001011009489 is a prime.

It is a super-2 number, since 2×110001011010001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110001011010601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 867001116 + ... + 867127981.

It is an arithmetic number, because the mean of its divisors is an integer number (13860026815765).

Almost surely, 2^{110001011010001} is an apocalyptic number.

It is an amenable number.

110001011010001 is a deficient number, since it is larger than the sum of its proper divisors (879203516119).

110001011010001 is a wasteful number, since it uses less digits than its factorization.

110001011010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734129603.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 110001011010001 its reverse (100010110100011), we get a palindrome (210011121110012).

The spelling of 110001011010001 in words is "one hundred ten trillion, one billion, eleven million, ten thousand, one".