100010111000 has 128 divisors (see below), whose sum is σ = 240642904320. Its totient is φ = 38880000000.

The previous prime is 100010110961. The next prime is 100010111029. The reversal of 100010111000 is 111010001.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11106500 + ... + 11115500.

It is an arithmetic number, because the mean of its divisors is an integer number (1880022690).

Almost surely, 2^100010111000 is an apocalyptic number.

100010111000 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 100010111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120321452160).

100010111000 is an abundant number, since it is smaller than the sum of its proper divisors (140632793320).

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

100010111000 is a wasteful number, since it uses less digits than its factorization.

100010111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9334 (or 9320 counting only the distinct ones).

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

Adding to 100010111000 its reverse (111010001), we get a palindrome (100121121001).

It can be divided in two parts, 1000101 and 11000, that added together give a palindrome (1011101).

The spelling of 100010111000 in words is "one hundred billion, ten million, one hundred eleven thousand".