211102201112 has 128 divisors (see below), whose sum is σ = 462827520000. Its totient is φ = 89205903360.

The previous prime is 211102201073. The next prime is 211102201139.

211102201112 is nontrivially palindromic in base 10.

211102201112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45405764 + ... + 45410412.

It is an arithmetic number, because the mean of its divisors is an integer number (3615840000).

Almost surely, 2^211102201112 is an apocalyptic number.

211102201112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211102201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231413760000).

211102201112 is an abundant number, since it is smaller than the sum of its proper divisors (251725318888).

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

211102201112 is a wasteful number, since it uses less digits than its factorization.

211102201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5049 (or 5045 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 211102 and 201112, that added together give a palindrome (412214).

The spelling of 211102201112 in words is "two hundred eleven billion, one hundred two million, two hundred one thousand, one hundred twelve".