100001111000 has 192 divisors, whose sum is σ = 272591373600. Its totient is φ = 34237728000.

The previous prime is 100001110969. The next prime is 100001111027. The reversal of 100001111000 is 111100001.

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

100001111000 is a modest number, since divided by 1111000 gives 1000 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61690190 + ... + 61691810.

Almost surely, 2^100001111000 is an apocalyptic number.

100001111000 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 100001111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136295686800).

100001111000 is an abundant number, since it is smaller than the sum of its proper divisors (172590262600).

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

100001111000 is a wasteful number, since it uses less digits than its factorization.

100001111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2915 (or 2894 counting only the distinct ones).

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

Adding to 100001111000 its reverse (111100001), we get a palindrome (100112211001).

The spelling of 100001111000 in words is "one hundred billion, one million, one hundred eleven thousand".