2112112222101 has 24 divisors (see below), whose sum is σ = 3545757408960. Its totient is φ = 1186464974976.

The previous prime is 2112112222079. The next prime is 2112112222111. The reversal of 2112112222101 is 1012222112112.

2112112222101 is a `hidden beast` number, since 21 + 1 + 211 + 222 + 210 + 1 = 666.

It is not a de Polignac number, because 2112112222101 - 2⁶ = 2112112222037 is a prime.

It is a super-2 number, since 2×2112112222101² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112112222111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284111460 + ... + 284118893.

It is an arithmetic number, because the mean of its divisors is an integer number (147739892040).

Almost surely, 2^{2112112222101} is an apocalyptic number.

2112112222101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2112112222101 is a deficient number, since it is larger than the sum of its proper divisors (1433645186859).

2112112222101 is a wasteful number, since it uses less digits than its factorization.

2112112222101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568230425 (or 568230422 counting only the distinct ones).

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

Adding to 2112112222101 its reverse (1012222112112), we get a palindrome (3124334334213).

The spelling of 2112112222101 in words is "two trillion, one hundred twelve billion, one hundred twelve million, two hundred twenty-two thousand, one hundred one".