201102221211102 has 160 divisors (see below), whose sum is σ = 461478937734144. Its totient is φ = 65426404881600.

The previous prime is 201102221211037. The next prime is 201102221211109. The reversal of 201102221211102 is 201112122201102.

201102221211102 is a `hidden beast` number, since 20 + 110 + 2 + 221 + 211 + 102 = 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 (201102221211109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9305538277 + ... + 9305559887.

Almost surely, 2^{201102221211102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201102221211102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230739468867072).

201102221211102 is an abundant number, since it is smaller than the sum of its proper divisors (260376716523042).

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

201102221211102 is a wasteful number, since it uses less digits than its factorization.

201102221211102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24996 (or 24987 counting only the distinct ones).

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

Adding to 201102221211102 its reverse (201112122201102), we get a palindrome (402214343412204).

The spelling of 201102221211102 in words is "two hundred one trillion, one hundred two billion, two hundred twenty-one million, two hundred eleven thousand, one hundred two".