211102100112 has 80 divisors (see below), whose sum is σ = 574433233920. Its totient is φ = 66619267200.

The previous prime is 211102100089. The next prime is 211102100119. The reversal of 211102100112 is 211001201112.

211102100112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (211102100119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1301437 + ... + 1454627.

It is an arithmetic number, because the mean of its divisors is an integer number (7180415424).

Almost surely, 2^211102100112 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 211102100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287216616960).

211102100112 is an abundant number, since it is smaller than the sum of its proper divisors (363331133808).

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

211102100112 is a wasteful number, since it uses less digits than its factorization.

211102100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154732 (or 154726 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211102100112 its reverse (211001201112), we get a palindrome (422103301224).

The spelling of 211102100112 in words is "two hundred eleven billion, one hundred two million, one hundred thousand, one hundred twelve".