110101101001001 has 16 divisors (see below), whose sum is σ = 121300522396416. Its totient is φ = 99100068000000.

The previous prime is 110101101000977. The next prime is 110101101001007. The reversal of 110101101001001 is 100100101101011.

It is a cyclic number.

It is not a de Polignac number, because 110101101001001 - 2¹⁰ = 110101100999977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110101101001001.

It is not an unprimeable number, because it can be changed into a prime (110101101001007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159407201 + ... + 160096401.

It is an arithmetic number, because the mean of its divisors is an integer number (7581282649776).

Almost surely, 2^{110101101001001} is an apocalyptic number.

110101101001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110101101001001 is a deficient number, since it is larger than the sum of its proper divisors (11199421395415).

110101101001001 is a wasteful number, since it uses less digits than its factorization.

110101101001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833104.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 110101101001001 its reverse (100100101101011), we get a palindrome (210201202102012).

The spelling of 110101101001001 in words is "one hundred ten trillion, one hundred one billion, one hundred one million, one thousand, one".