10000001000 has 64 divisors (see below), whose sum is σ = 25527303360. Its totient is φ = 3636360000.

The previous prime is 10000000999. The next prime is 10000001041. The reversal of 10000001000 is 10000001.

10000001000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sliding number, since 10000001000 = 1000 + 10000000000 and 1/1000 + 1/10000000000 = 0.0010000001000.

It is a Harshad number since it is a multiple of its sum of digits (2).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 443546 + ... + 465545.

It is an arithmetic number, because the mean of its divisors is an integer number (398864115).

Almost surely, 2^10000001000 is an apocalyptic number.

10000001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000001000 is an abundant number, since it is smaller than the sum of its proper divisors (15527302360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10000001000 is a wasteful number, since it uses less digits than its factorization.

10000001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909123 (or 909109 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 2.

Adding to 10000001000 its reverse (10000001), we get a palindrome (10010001001).

Subtracting from 10000001000 its reverse (10000001), we obtain a palindrome (9990000999).

10000001000 divided by its reverse (10000001) gives a cube (1000 = 10³).

The spelling of 10000001000 in words is "ten billion, one thousand".