21100002112 has 84 divisors (see below), whose sum is σ = 49189265604. Its totient is φ = 8953190400.

The previous prime is 21100002107. The next prime is 21100002127. The reversal of 21100002112 is 21120000112.

It can be written as a sum of positive squares in 2 ways, for example, as 8631153216 + 12468848896 = 92904^2 + 111664^2 .

It is a super-3 number, since 3×21100002112³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 283428 + ... + 350044.

Almost surely, 2^21100002112 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 21100002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24594632802).

21100002112 is an abundant number, since it is smaller than the sum of its proper divisors (28089263492).

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

21100002112 is a wasteful number, since it uses less digits than its factorization.

21100002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66744 (or 66727 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21100002112 its reverse (21120000112), we get a palindrome (42220002224).

It can be divided in two parts, 2110000 and 2112, that added together give a palindrome (2112112).

The spelling of 21100002112 in words is "twenty-one billion, one hundred million, two thousand, one hundred twelve".