100011011000 has 64 divisors (see below), whose sum is σ = 234236789280. Its totient is φ = 39968332800.

The previous prime is 100011010973. The next prime is 100011011029. The reversal of 100011011000 is 110110001.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1078472 + ... + 1167528.

Almost surely, 2^100011011000 is an apocalyptic number.

100011011000 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 100011011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117118394640).

100011011000 is an abundant number, since it is smaller than the sum of its proper divisors (134225778280).

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

100011011000 is a wasteful number, since it uses less digits than its factorization.

100011011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90201 (or 90187 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100011011000 its reverse (110110001), we get a palindrome (100121121001).

Subtracting from 100011011000 its reverse (110110001), we obtain a palindrome (99900900999).

The spelling of 100011011000 in words is "one hundred billion, eleven million, eleven thousand".