112201202122101 has 48 divisors (see below), whose sum is σ = 171818904479040. Its totient is φ = 70358173966080.

The previous prime is 112201202122091. The next prime is 112201202122123. The reversal of 112201202122101 is 101221202102211.

112201202122101 is a `hidden beast` number, since 1 + 1 + 220 + 1 + 20 + 212 + 210 + 1 = 666.

It is not a de Polignac number, because 112201202122101 - 2⁵ = 112201202122069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112201202122171) 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, 16159066 + ... + 22034468.

It is an arithmetic number, because the mean of its divisors is an integer number (3579560509980).

Almost surely, 2^{112201202122101} is an apocalyptic number.

It is an amenable number.

112201202122101 is a deficient number, since it is larger than the sum of its proper divisors (59617702356939).

112201202122101 is a wasteful number, since it uses less digits than its factorization.

112201202122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5876226 (or 5876223 counting only the distinct ones).

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

Adding to 112201202122101 its reverse (101221202102211), we get a palindrome (213422404224312).

The spelling of 112201202122101 in words is "one hundred twelve trillion, two hundred one billion, two hundred two million, one hundred twenty-two thousand, one hundred one".