2102211120 has 80 divisors (see below), whose sum is σ = 6532296192. Its totient is φ = 559261440.

The previous prime is 2102211107. The next prime is 2102211161. The reversal of 2102211120 is 211122012.

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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 2102211096 and 2102211105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93279 + ... + 113601.

Almost surely, 2^2102211120 is an apocalyptic number.

2102211120 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 2102211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3266148096).

2102211120 is an abundant number, since it is smaller than the sum of its proper divisors (4430085072).

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

2102211120 is a wasteful number, since it uses less digits than its factorization.

2102211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20770 (or 20764 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2102211120 is about 45849.8758995049. The cubic root of 2102211120 is about 1281.0284540357.

Adding to 2102211120 its reverse (211122012), we get a palindrome (2313333132).

The spelling of 2102211120 in words is "two billion, one hundred two million, two hundred eleven thousand, one hundred twenty".