1100100001 has 64 divisors (see below), whose sum is σ = 1535385600. Its totient is φ = 760700160.

The previous prime is 1100099993. The next prime is 1100100041. The reversal of 1100100001 is 1000010011.

It is not a de Polignac number, because 1100100001 - 2³ = 1100099993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1100100041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3151975 + ... + 3152323.

It is an arithmetic number, because the mean of its divisors is an integer number (23990400).

Almost surely, 2^1100100001 is an apocalyptic number.

1100100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100100001 is a deficient number, since it is larger than the sum of its proper divisors (435285599).

1100100001 is a wasteful number, since it uses less digits than its factorization.

1100100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494.

The product of its (nonzero) digits is 1, while the sum is 4.

The square root of 1100100001 is about 33167.7554410907. The cubic root of 1100100001 is about 1032.3113960369.

Adding to 1100100001 its reverse (1000010011), we get a palindrome (2100110012).

It can be divided in two parts, 1100 and 100001, that added together give a palindrome (101101).

The spelling of 1100100001 in words is "one billion, one hundred million, one hundred thousand, one".