2112112000001 has 8 divisors (see below), whose sum is σ = 2239380084960. Its totient is φ = 1985180159808.

The previous prime is 2112111999973. The next prime is 2112112000043. The reversal of 2112112000001 is 1000002112112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2112112000001 is a prime.

It is a super-2 number, since 2×2112112000001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2112112005001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84048251 + ... + 84073376.

It is an arithmetic number, because the mean of its divisors is an integer number (279922510620).

Almost surely, 2^{2112112000001} is an apocalyptic number.

It is an amenable number.

2112112000001 is a deficient number, since it is larger than the sum of its proper divisors (127268084959).

2112112000001 is a wasteful number, since it uses less digits than its factorization.

2112112000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168122383.

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

Adding to 2112112000001 its reverse (1000002112112), we get a palindrome (3112114112113).

The spelling of 2112112000001 in words is "two trillion, one hundred twelve billion, one hundred twelve million, one", and thus it is an aban number.