2101022112 has 192 divisors, whose sum is σ = 6705586944. Its totient is φ = 562298880.

The previous prime is 2101022111. The next prime is 2101022141. The reversal of 2101022112 is 2112201012.

It is a super-2 number, since 2×2101022112² = 8828587830225881088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2101022111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4032412 + ... + 4032932.

It is an arithmetic number, because the mean of its divisors is an integer number (34924932).

Almost surely, 2^2101022112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352793472).

2101022112 is an abundant number, since it is smaller than the sum of its proper divisors (4604564832).

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

2101022112 is a wasteful number, since it uses less digits than its factorization.

2101022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 903 counting only the distinct ones).

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

The square root of 2101022112 is about 45836.9077491054. The cubic root of 2101022112 is about 1280.7868924532.

Adding to 2101022112 its reverse (2112201012), we get a palindrome (4213223124).

The spelling of 2101022112 in words is "two billion, one hundred one million, twenty-two thousand, one hundred twelve".