211121101121112 has 768 divisors, whose sum is σ = 731363215564800. Its totient is φ = 53531138580480.

The previous prime is 211121101121093. The next prime is 211121101121123.

211121101121112 is a `hidden beast` number, since 211 + 121 + 101 + 121 + 112 = 666.

211121101121112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51156067993 + ... + 51156072119.

It is an arithmetic number, because the mean of its divisors is an integer number (952295853600).

Almost surely, 2^{211121101121112} 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 211121101121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365681607782400).

211121101121112 is an abundant number, since it is smaller than the sum of its proper divisors (520242114443688).

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

211121101121112 is a wasteful number, since it uses less digits than its factorization.

211121101121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6656 (or 6649 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

It can be divided in two parts, 21112110 and 1121112, that added together give a palindrome (22233222).

The spelling of 211121101121112 in words is "two hundred eleven trillion, one hundred twenty-one billion, one hundred one million, one hundred twenty-one thousand, one hundred twelve".