2100111120 has 240 divisors, whose sum is σ = 7480092672. Its totient is φ = 527109120.

The previous prime is 2100111119. The next prime is 2100111127. The reversal of 2100111120 is 211110012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2100111127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 824569 + ... + 827111.

Almost surely, 2^2100111120 is an apocalyptic number.

2100111120 is a gapful number since it is divisible by the number (20) 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 2100111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3740046336).

2100111120 is an abundant number, since it is smaller than the sum of its proper divisors (5379981552).

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

2100111120 is a wasteful number, since it uses less digits than its factorization.

2100111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2100111120 is about 45826.9693521184. The cubic root of 2100111120 is about 1280.6017515664.

Adding to 2100111120 its reverse (211110012), we get a palindrome (2311221132).

The spelling of 2100111120 in words is "two billion, one hundred million, one hundred eleven thousand, one hundred twenty".