100111120 has 40 divisors (see below), whose sum is σ = 234092160. Its totient is φ = 39815040.

The previous prime is 100111087. The next prime is 100111127. The reversal of 100111120 is 21111001.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (100111127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10825 + ... + 17815.

It is an arithmetic number, because the mean of its divisors is an integer number (5852304).

Almost surely, 2^100111120 is an apocalyptic number.

100111120 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 100111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117046080).

100111120 is an abundant number, since it is smaller than the sum of its proper divisors (133981040).

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

100111120 is a wasteful number, since it uses less digits than its factorization.

100111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7183 (or 7177 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

The square root of 100111120 is about 10005.5544574001. The cubic root of 100111120 is about 464.3307441701.

Adding to 100111120 its reverse (21111001), we get a palindrome (121222121).

It can be divided in two parts, 1001 and 11120, that added together give a palindrome (12121).

The spelling of 100111120 in words is "one hundred million, one hundred eleven thousand, one hundred twenty".