1001114001 has 24 divisors (see below), whose sum is σ = 1461227040. Its totient is φ = 660439296.

The previous prime is 1001113999. The next prime is 1001114027. The reversal of 1001114001 is 1004111001.

It is not a de Polignac number, because 1001114001 - 2¹ = 1001113999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1001114501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 440470 + ... + 442736.

It is an arithmetic number, because the mean of its divisors is an integer number (60884460).

Almost surely, 2^1001114001 is an apocalyptic number.

It is an amenable number.

1001114001 is a deficient number, since it is larger than the sum of its proper divisors (460113039).

1001114001 is a wasteful number, since it uses less digits than its factorization.

1001114001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1001114001 is about 31640.3856013166. The cubic root of 1001114001 is about 1000.3711958632.

Adding to 1001114001 its reverse (1004111001), we get a palindrome (2005225002).

The spelling of 1001114001 in words is "one billion, one million, one hundred fourteen thousand, one".