112001022001 has 6 divisors (see below), whose sum is σ = 123108561506. Its totient is φ = 101819110800.

The previous prime is 112001021981. The next prime is 112001022017. The reversal of 112001022001 is 100220100211.

It can be written as a sum of positive squares in only one way, i.e., 98392632976 + 13608389025 = 313676^2 + 116655^2 .

It is not a de Polignac number, because 112001022001 - 2¹³ = 112001013809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112001052001) 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 5 ways as a sum of consecutive naturals, for example, 462814020 + ... + 462814261.

Almost surely, 2^112001022001 is an apocalyptic number.

112001022001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112001022001 is a deficient number, since it is larger than the sum of its proper divisors (11107539505).

112001022001 is an equidigital number, since it uses as much as digits as its factorization.

112001022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925628303 (or 925628292 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 112001022001 its reverse (100220100211), we get a palindrome (212221122212).

The spelling of 112001022001 in words is "one hundred twelve billion, one million, twenty-two thousand, one".