10011000000 has 392 divisors, whose sum is σ = 34289561088. Its totient is φ = 2576000000.

The previous prime is 10010999969. The next prime is 10011000011. The reversal of 10011000000 is 11001.

It is a Harshad number since it is a multiple of its sum of digits (3).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 140999965 + ... + 141000035.

Almost surely, 2^10011000000 is an apocalyptic number.

10011000000 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 10011000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17144780544).

10011000000 is an abundant number, since it is smaller than the sum of its proper divisors (24278561088).

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

10011000000 is an frugal number, since it uses more digits than its factorization.

10011000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

Adding to 10011000000 its reverse (11001), we get a palindrome (10011011001).

It can be divided in two parts, 1001 and 1000000, that added together give a palindrome (1001001).

The spelling of 10011000000 in words is "ten billion, eleven million", and thus it is an aban number and an uban number.