112222001122101 has 96 divisors (see below), whose sum is σ = 186692966564832. Its totient is φ = 64344626380800.

The previous prime is 112222001122003. The next prime is 112222001122157. The reversal of 112222001122101 is 101221100222211.

112222001122101 is a `hidden beast` number, since 1 + 122 + 220 + 0 + 112 + 210 + 1 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 71677211076 + 112150323911025 = 267726^2 + 10590105^2 .

It is not a de Polignac number, because 112222001122101 - 2¹⁰ = 112222001121077 is a prime.

It is a super-2 number, since 2×112222001122101² (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 (112222001122601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1557456391 + ... + 1557528443.

It is an arithmetic number, because the mean of its divisors is an integer number (1944718401717).

Almost surely, 2^{112222001122101} is an apocalyptic number.

It is an amenable number.

112222001122101 is a deficient number, since it is larger than the sum of its proper divisors (74470965442731).

112222001122101 is a wasteful number, since it uses less digits than its factorization.

112222001122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79943 (or 79940 counting only the distinct ones).

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

Adding to 112222001122101 its reverse (101221100222211), we get a palindrome (213443101344312).

The spelling of 112222001122101 in words is "one hundred twelve trillion, two hundred twenty-two billion, one million, one hundred twenty-two thousand, one hundred one".