10011001000 has 512 divisors, whose sum is σ = 32116331520. Its totient is φ = 2820096000.

The previous prime is 10011000931. The next prime is 10011001003. The reversal of 10011001000 is 10011001.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (10011001003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73072932 + ... + 73073068.

It is an arithmetic number, because the mean of its divisors is an integer number (62727210).

Almost surely, 2^10011001000 is an apocalyptic number.

10011001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16058165760).

10011001000 is an abundant number, since it is smaller than the sum of its proper divisors (22105330520).

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

10011001000 is a wasteful number, since it uses less digits than its factorization.

10011001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 248 counting only the distinct ones).

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

Adding to 10011001000 its reverse (10011001), we get a palindrome (10021012001).

10011001000 divided by its reverse (10011001) gives a cube (1000 = 10³).

It can be divided in two parts, 1001 and 1001000, that added together give a palindrome (1002001).

The spelling of 10011001000 in words is "ten billion, eleven million, one thousand".