1000110001 has 16 divisors (see below), whose sum is σ = 1114170048. Its totient is φ = 890092800.

The previous prime is 1000109993. The next prime is 1000110019.

1000110001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1000110001 - 2³ = 1000109993 is a prime.

1000110001 is a strobogrammatic number because it is the same when read upside-down.

It is a deceptive number, since it divides R_1000110000.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000110091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105466 + ... + 114556.

It is an arithmetic number, because the mean of its divisors is an integer number (69635628).

Almost surely, 2^1000110001 is an apocalyptic number.

1000110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000110001 is a deficient number, since it is larger than the sum of its proper divisors (114060047).

1000110001 is a wasteful number, since it uses less digits than its factorization.

1000110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9312.

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

The square root of 1000110001 is about 31624.5158223806. The cubic root of 1000110001 is about 1000.0366656556.

It can be divided in two parts, 10001 and 10001, that added together give a palindrome (20002).

The spelling of 1000110001 in words is "one billion, one hundred ten thousand, one".