201122102102112 has 144 divisors (see below), whose sum is σ = 602174345310720. Its totient is φ = 63498400761600.

The previous prime is 201122102102087. The next prime is 201122102102167. The reversal of 201122102102112 is 211201201221102.

201122102102112 is a `hidden beast` number, since 20 + 1 + 1 + 221 + 0 + 210 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 21119037 + ... + 29124867.

It is an arithmetic number, because the mean of its divisors is an integer number (4181766286880).

Almost surely, 2^{201122102102112} 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 201122102102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301087172655360).

201122102102112 is an abundant number, since it is smaller than the sum of its proper divisors (401052243208608).

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

201122102102112 is a wasteful number, since it uses less digits than its factorization.

201122102102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8010457 (or 8010446 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201122102102112 its reverse (211201201221102), we get a palindrome (412323303323214).

The spelling of 201122102102112 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred two million, one hundred two thousand, one hundred twelve".