211102121121112 has 64 divisors (see below), whose sum is σ = 428802507504000. Its totient is φ = 97428035907072.

The previous prime is 211102121121107. The next prime is 211102121121179. The reversal of 211102121121112 is 211121121201112.

It is a self number, because there is not a number n which added to its sum of digits gives 211102121121112.

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 15 ways as a sum of consecutive naturals, for example, 491087089 + ... + 491516767.

It is an arithmetic number, because the mean of its divisors is an integer number (6700039179750).

Almost surely, 2^{211102121121112} 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 211102121121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214401253752000).

211102121121112 is an abundant number, since it is smaller than the sum of its proper divisors (217700386382888).

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

211102121121112 is a wasteful number, since it uses less digits than its factorization.

211102121121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457677 (or 457647 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 211102121121112 its reverse (211121121201112), we get a palindrome (422223242322224).

The spelling of 211102121121112 in words is "two hundred eleven trillion, one hundred two billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred twelve".