112112100010001 has 16 divisors (see below), whose sum is σ = 146100836214144. Its totient is φ = 83486192120064.

The previous prime is 112112100009977. The next prime is 112112100010007. The reversal of 112112100010001 is 100010001211211.

It is a cyclic number.

It is not a de Polignac number, because 112112100010001 - 2¹⁰ = 112112100008977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112112100010007) 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 15 ways as a sum of consecutive naturals, for example, 36235324895 + ... + 36235327988.

It is an arithmetic number, because the mean of its divisors is an integer number (9131302263384).

Almost surely, 2^{112112100010001} is an apocalyptic number.

It is an amenable number.

112112100010001 is a deficient number, since it is larger than the sum of its proper divisors (33988736204143).

112112100010001 is a wasteful number, since it uses less digits than its factorization.

112112100010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72470652920.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 112112100010001 its reverse (100010001211211), we get a palindrome (212122101221212).

The spelling of 112112100010001 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred million, ten thousand, one".