2102212112 has 240 divisors, whose sum is σ = 5899122432. Its totient is φ = 710922240.

The previous prime is 2102212109. The next prime is 2102212157. The reversal of 2102212112 is 2112122012.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1905353 + ... + 1906455.

Almost surely, 2^2102212112 is an apocalyptic number.

2102212112 is a gapful number since it is divisible by the number (22) 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 2102212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949561216).

2102212112 is an abundant number, since it is smaller than the sum of its proper divisors (3796910320).

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

2102212112 is a wasteful number, since it uses less digits than its factorization.

2102212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2102212112 is about 45849.8867174173. The cubic root of 2102212112 is about 1281.0286555346.

Adding to 2102212112 its reverse (2112122012), we get a palindrome (4214334124).

The spelling of 2102212112 in words is "two billion, one hundred two million, two hundred twelve thousand, one hundred twelve".