112201201221201 has 6 divisors (see below), whose sum is σ = 162068401763970. Its totient is φ = 74800800814128.

The previous prime is 112201201221107. The next prime is 112201201221247. The reversal of 112201201221201 is 102122102102211.

112201201221201 is a `hidden beast` number, since 1 + 1 + 220 + 1 + 20 + 1 + 221 + 201 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56352781908801 + 55848419312400 = 7506849^2 + 7473180^2 .

It is not a de Polignac number, because 112201201221201 - 2¹³ = 112201201213009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112201201221251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6233400067836 + ... + 6233400067853.

It is an arithmetic number, because the mean of its divisors is an integer number (27011400293995).

Almost surely, 2^{112201201221201} is an apocalyptic number.

It is an amenable number.

112201201221201 is a deficient number, since it is larger than the sum of its proper divisors (49867200542769).

112201201221201 is a wasteful number, since it uses less digits than its factorization.

112201201221201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12466800135695 (or 12466800135692 counting only the distinct ones).

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

Adding to 112201201221201 its reverse (102122102102211), we get a palindrome (214323303323412).

The spelling of 112201201221201 in words is "one hundred twelve trillion, two hundred one billion, two hundred one million, two hundred twenty-one thousand, two hundred one".