11000110100001 has 64 divisors (see below), whose sum is σ = 16478865662976. Its totient is φ = 6468304377600.

The previous prime is 11000110099919. The next prime is 11000110100027. The reversal of 11000110100001 is 10000101100011.

It is not a de Polignac number, because 11000110100001 - 2¹⁰ = 11000110098977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11000110100041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1209995466 + ... + 1210004556.

It is an arithmetic number, because the mean of its divisors is an integer number (257482275984).

Almost surely, 2^{11000110100001} is an apocalyptic number.

11000110100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11000110100001 is a deficient number, since it is larger than the sum of its proper divisors (5478755562975).

11000110100001 is a wasteful number, since it uses less digits than its factorization.

11000110100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11822.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 11000110100001 its reverse (10000101100011), we get a palindrome (21000211200012).

It can be divided in two parts, 11000110 and 100001, that added together give a palindrome (11100111).

The spelling of 11000110100001 in words is "eleven trillion, one hundred ten million, one hundred thousand, one".