2110111120 has 80 divisors (see below), whose sum is σ = 5561519040. Its totient is φ = 738104832.

The previous prime is 2110111117. The next prime is 2110111123. The reversal of 2110111120 is 211110112.

It is an interprime number because it is at equal distance from previous prime (2110111117) and next prime (2110111123).

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 (10).

It is a junction number, because it is equal to n+sod(n) for n = 2110111097 and 2110111106.

It is not an unprimeable number, because it can be changed into a prime (2110111123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33634 + ... + 73153.

It is an arithmetic number, because the mean of its divisors is an integer number (69518988).

Almost surely, 2^2110111120 is an apocalyptic number.

2110111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2110111120 is an abundant number, since it is smaller than the sum of its proper divisors (3451407920).

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

2110111120 is a wasteful number, since it uses less digits than its factorization.

2110111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106832 (or 106826 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 2110111120 is about 45935.9458376553. The cubic root of 2110111120 is about 1282.6311275451.

Adding to 2110111120 its reverse (211110112), we get a palindrome (2321221232).

The spelling of 2110111120 in words is "two billion, one hundred ten million, one hundred eleven thousand, one hundred twenty".