112122101 has 16 divisors (see below), whose sum is σ = 138399744. Its totient is φ = 88452864.

The previous prime is 112122061. The next prime is 112122137. The reversal of 112122101 is 101221211.

It is a cyclic number.

It is not a de Polignac number, because 112122101 - 2¹⁴ = 112105717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112122151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33245 + ... + 36461.

It is an arithmetic number, because the mean of its divisors is an integer number (8649984).

Almost surely, 2^112122101 is an apocalyptic number.

It is an amenable number.

112122101 is a deficient number, since it is larger than the sum of its proper divisors (26277643).

112122101 is a wasteful number, since it uses less digits than its factorization.

112122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620.

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 112122101 is about 10588.7724028803. The cubic root of 112122101 is about 482.2035563499.

Adding to 112122101 its reverse (101221211), we get a palindrome (213343312).

The spelling of 112122101 in words is "one hundred twelve million, one hundred twenty-two thousand, one hundred one".