211001110121116 has 96 divisors (see below), whose sum is σ = 441829547389440. Its totient is φ = 86255774379264.

The previous prime is 211001110121093. The next prime is 211001110121117. The reversal of 211001110121116 is 611121011100112.

It is a junction number, because it is equal to n+sod(n) for n = 211001110121093 and 211001110121102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211001110121117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3490880391 + ... + 3490940833.

It is an arithmetic number, because the mean of its divisors is an integer number (4602391118640).

Almost surely, 2^{211001110121116} 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 211001110121116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220914773694720).

211001110121116 is an abundant number, since it is smaller than the sum of its proper divisors (230828437268324).

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

211001110121116 is a wasteful number, since it uses less digits than its factorization.

211001110121116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112363 (or 112361 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 19.

Adding to 211001110121116 its reverse (611121011100112), we get a palindrome (822122121221228).

The spelling of 211001110121116 in words is "two hundred eleven trillion, one billion, one hundred ten million, one hundred twenty-one thousand, one hundred sixteen".