112201200112001 has 48 divisors (see below), whose sum is σ = 153340334400960. Its totient is φ = 80702880693120.

The previous prime is 112201200111911. The next prime is 112201200112019. The reversal of 112201200112001 is 100211002102211.

It is not a de Polignac number, because 112201200112001 - 2⁴⁶ = 41832455934337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112201200112021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 821635610 + ... + 821772156.

It is an arithmetic number, because the mean of its divisors is an integer number (3194590300020).

Almost surely, 2^{112201200112001} is an apocalyptic number.

112201200112001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112201200112001 is a deficient number, since it is larger than the sum of its proper divisors (41139134288959).

112201200112001 is a wasteful number, since it uses less digits than its factorization.

112201200112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253854 (or 253847 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112201200112001 its reverse (100211002102211), we get a palindrome (212412202214212).

The spelling of 112201200112001 in words is "one hundred twelve trillion, two hundred one billion, two hundred million, one hundred twelve thousand, one".