1000010011 has 24 divisors (see below), whose sum is σ = 1350065664. Its totient is φ = 719278560.

The previous prime is 1000009999. The next prime is 1000010029. The reversal of 1000010011 is 1100100001.

It is not a de Polignac number, because 1000010011 - 2¹³ = 1000001819 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000010051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25411 + ... + 51436.

It is an arithmetic number, because the mean of its divisors is an integer number (56252736).

Almost surely, 2^1000010011 is an apocalyptic number.

1000010011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1000010011 is a deficient number, since it is larger than the sum of its proper divisors (350055653).

1000010011 is a wasteful number, since it uses less digits than its factorization.

1000010011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76891 (or 76878 counting only the distinct ones).

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

The square root of 1000010011 is about 31622.9348890959. The cubic root of 1000010011 is about 1000.0033369889.

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

The spelling of 1000010011 in words is "one billion, ten thousand, eleven".