211100002121112 has 128 divisors (see below), whose sum is σ = 569971106611200. Its totient is φ = 64768222582272.

The previous prime is 211100002121069. The next prime is 211100002121153. The reversal of 211100002121112 is 211121200001112.

It is a happy number.

It is a super-3 number, since 3×211100002121112³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 211100002121091 and 211100002121100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487207638 + ... + 487640730.

It is an arithmetic number, because the mean of its divisors is an integer number (4452899270400).

Almost surely, 2^{211100002121112} 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 211100002121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284985553305600).

211100002121112 is an abundant number, since it is smaller than the sum of its proper divisors (358871104490088).

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

211100002121112 is a wasteful number, since it uses less digits than its factorization.

211100002121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437577 (or 437573 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211100002121112 its reverse (211121200001112), we get a palindrome (422221202122224).

The spelling of 211100002121112 in words is "two hundred eleven trillion, one hundred billion, two million, one hundred twenty-one thousand, one hundred twelve".