100010111120 has 80 divisors (see below), whose sum is σ = 235586707200. Its totient is φ = 39479616000.

The previous prime is 100010111101. The next prime is 100010111143. The reversal of 100010111120 is 21111010001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 100010111098 and 100010111107.

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 15 ways as a sum of consecutive naturals, for example, 2492981 + ... + 2532779.

It is an arithmetic number, because the mean of its divisors is an integer number (2944833840).

Almost surely, 2^100010111120 is an apocalyptic number.

100010111120 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 100010111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117793353600).

100010111120 is an abundant number, since it is smaller than the sum of its proper divisors (135576596080).

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

100010111120 is a wasteful number, since it uses less digits than its factorization.

100010111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40224 (or 40218 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100010111120 its reverse (21111010001), we get a palindrome (121121121121).

The spelling of 100010111120 in words is "one hundred billion, ten million, one hundred eleven thousand, one hundred twenty".