112112002222101 has 18 divisors (see below), whose sum is σ = 188378670401142. Its totient is φ = 64064001269520.

The previous prime is 112112002222049. The next prime is 112112002222111. The reversal of 112112002222101 is 101222200211211.

112112002222101 is a `hidden beast` number, since 1 + 1 + 211 + 20 + 0 + 222 + 210 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82995725819601 + 29116276402500 = 9110199^2 + 5395950^2 .

It is not a de Polignac number, because 112112002222101 - 2¹⁰ = 112112002221077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112112002222111) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 127111113190 + ... + 127111114071.

Almost surely, 2^{112112002222101} is an apocalyptic number.

It is an amenable number.

112112002222101 is a deficient number, since it is larger than the sum of its proper divisors (76266668179041).

112112002222101 is a wasteful number, since it uses less digits than its factorization.

112112002222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254222227281 (or 254222227271 counting only the distinct ones).

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

Adding to 112112002222101 its reverse (101222200211211), we get a palindrome (213334202433312).

The spelling of 112112002222101 in words is "one hundred twelve trillion, one hundred twelve billion, two million, two hundred twenty-two thousand, one hundred one".