201102222101112 has 192 divisors, whose sum is σ = 583021893636000. Its totient is φ = 62399528755200.

The previous prime is 201102222101083. The next prime is 201102222101119. The reversal of 201102222101112 is 211101222201102.

201102222101112 is a `hidden beast` number, since 201 + 10 + 222 + 210 + 11 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201102222101119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114967639 + ... + 116703737.

Almost surely, 2^{201102222101112} 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 201102222101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291510946818000).

201102222101112 is an abundant number, since it is smaller than the sum of its proper divisors (381919671534888).

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

201102222101112 is a wasteful number, since it uses less digits than its factorization.

201102222101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737166 (or 1737159 counting only the distinct ones).

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

Adding to 201102222101112 its reverse (211101222201102), we get a palindrome (412203444302214).

The spelling of 201102222101112 in words is "two hundred one trillion, one hundred two billion, two hundred twenty-two million, one hundred one thousand, one hundred twelve".