201103212114 has 144 divisors (see below), whose sum is σ = 530796913920. Its totient is φ = 54762744960.

The previous prime is 201103212083. The next prime is 201103212119. The reversal of 201103212114 is 411212301102.

201103212114 is a `hidden beast` number, since 20 + 110 + 321 + 211 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (201103212119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5682727 + ... + 5718005.

It is an arithmetic number, because the mean of its divisors is an integer number (3686089680).

Almost surely, 2^201103212114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201103212114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265398456960).

201103212114 is an abundant number, since it is smaller than the sum of its proper divisors (329693701806).

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

201103212114 is a wasteful number, since it uses less digits than its factorization.

201103212114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35605 (or 35595 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 201103212114 its reverse (411212301102), we get a palindrome (612315513216).

The spelling of 201103212114 in words is "two hundred one billion, one hundred three million, two hundred twelve thousand, one hundred fourteen".