211121102202112 has 72 divisors (see below), whose sum is σ = 435158192367360. Its totient is φ = 102120953303040.

The previous prime is 211121102202107. The next prime is 211121102202149. The reversal of 211121102202112 is 211202201121112.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 211121102202112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19081863 + ... + 28042105.

It is an arithmetic number, because the mean of its divisors is an integer number (6043863782880).

Almost surely, 2^{211121102202112} 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 211121102202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217579096183680).

211121102202112 is an abundant number, since it is smaller than the sum of its proper divisors (224037090165248).

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

211121102202112 is an equidigital number, since it uses as much as digits as its factorization.

211121102202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8963259 (or 8963245 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 211121102202112 its reverse (211202201121112), we get a palindrome (422323303323224).

The spelling of 211121102202112 in words is "two hundred eleven trillion, one hundred twenty-one billion, one hundred two million, two hundred two thousand, one hundred twelve".