201112201222101 has 128 divisors (see below), whose sum is σ = 354645677998080. Its totient is φ = 111373673241600.

The previous prime is 201112201222073. The next prime is 201112201222117. The reversal of 201112201222101 is 101222102211102.

201112201222101 is a `hidden beast` number, since 2 + 0 + 111 + 220 + 122 + 210 + 1 = 666.

It is not a de Polignac number, because 201112201222101 - 2¹⁰ = 201112201221077 is a prime.

It is a super-2 number, since 2×201112201222101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201112201222301) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 355308646 + ... + 355874216.

It is an arithmetic number, because the mean of its divisors is an integer number (2770669359360).

Almost surely, 2^{201112201222101} is an apocalyptic number.

It is an amenable number.

201112201222101 is a deficient number, since it is larger than the sum of its proper divisors (153533476775979).

201112201222101 is a wasteful number, since it uses less digits than its factorization.

201112201222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568224 (or 568218 counting only the distinct ones).

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

Adding to 201112201222101 its reverse (101222102211102), we get a palindrome (302334303433203).

The spelling of 201112201222101 in words is "two hundred one trillion, one hundred twelve billion, two hundred one million, two hundred twenty-two thousand, one hundred one".