112101100020001 has 16 divisors (see below), whose sum is σ = 114654194668800. Its totient is φ = 109564322332608.

The previous prime is 112101100019957. The next prime is 112101100020017. The reversal of 112101100020001 is 100020001101211.

It is a cyclic number.

It is not a de Polignac number, because 112101100020001 - 2⁷ = 112101100019873 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 112101100020001.

It is not an unprimeable number, because it can be changed into a prime (112101100020031) 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, 122825620 + ... + 123734938.

It is an arithmetic number, because the mean of its divisors is an integer number (7165887166800).

Almost surely, 2^{112101100020001} is an apocalyptic number.

It is an amenable number.

112101100020001 is a deficient number, since it is larger than the sum of its proper divisors (2553094648799).

112101100020001 is an equidigital number, since it uses as much as digits as its factorization.

112101100020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918288.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 112101100020001 its reverse (100020001101211), we get a palindrome (212121101121212).

The spelling of 112101100020001 in words is "one hundred twelve trillion, one hundred one billion, one hundred million, twenty thousand, one".