112001000002001 has 8 divisors (see below), whose sum is σ = 122188665361824. Its totient is φ = 101814294020320.

The previous prime is 112001000001829. The next prime is 112001000002009. The reversal of 112001000002001 is 100200000100211.

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

It is a cyclic number.

It is not a de Polignac number, because 112001000002001 - 2²⁶ = 112000932893137 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 112001000002001.

It is not an unprimeable number, because it can be changed into a prime (112001000002009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239600420 + ... + 240067413.

It is an arithmetic number, because the mean of its divisors is an integer number (15273583170228).

Almost surely, 2^{112001000002001} is an apocalyptic number.

112001000002001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112001000002001 is a deficient number, since it is larger than the sum of its proper divisors (10187665359823).

112001000002001 is a wasteful number, since it uses less digits than its factorization.

112001000002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479689071.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 112001000002001 its reverse (100200000100211), we get a palindrome (212201000102212).

The spelling of 112001000002001 in words is "one hundred twelve trillion, one billion, two thousand, one".