11010110101001 has 32 divisors (see below), whose sum is σ = 12838310991360. Its totient is φ = 9330996153600.

The previous prime is 11010110100959. The next prime is 11010110101009. The reversal of 11010110101001 is 10010101101011.

It is not a de Polignac number, because 11010110101001 - 2¹⁰ = 11010110099977 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11010110101001.

It is not an unprimeable number, because it can be changed into a prime (11010110101009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149210246 + ... + 149284016.

It is an arithmetic number, because the mean of its divisors is an integer number (401197218480).

Almost surely, 2^{11010110101001} is an apocalyptic number.

11010110101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11010110101001 is a deficient number, since it is larger than the sum of its proper divisors (1828200890359).

11010110101001 is a wasteful number, since it uses less digits than its factorization.

11010110101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81365.

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

Adding to 11010110101001 its reverse (10010101101011), we get a palindrome (21020211202012).

It can be divided in two parts, 11010110 and 101001, that added together give a palindrome (11111111).

The spelling of 11010110101001 in words is "eleven trillion, ten billion, one hundred ten million, one hundred one thousand, one".