201101112221202 has 96 divisors (see below), whose sum is σ = 459095146220160. Its totient is φ = 65245082551200.

The previous prime is 201101112221201. The next prime is 201101112221203. The reversal of 201101112221202 is 202122211101102.

201101112221202 is a `hidden beast` number, since 20 + 110 + 1 + 112 + 221 + 202 = 666.

It is an interprime number because it is at equal distance from previous prime (201101112221201) and next prime (201101112221203).

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 (201101112221201) 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 47 ways as a sum of consecutive naturals, for example, 13689163 + ... + 24281585.

It is an arithmetic number, because the mean of its divisors is an integer number (4782241106460).

Almost surely, 2^{201101112221202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201101112221202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229547573110080).

201101112221202 is an abundant number, since it is smaller than the sum of its proper divisors (257994033998958).

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

201101112221202 is a wasteful number, since it uses less digits than its factorization.

201101112221202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10592653 (or 10592588 counting only the distinct ones).

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

Adding to 201101112221202 its reverse (202122211101102), we get a palindrome (403223323322304).

The spelling of 201101112221202 in words is "two hundred one trillion, one hundred one billion, one hundred twelve million, two hundred twenty-one thousand, two hundred two".