112001010101001 has 24 divisors (see below), whose sum is σ = 185548529896704. Its totient is φ = 63772817129280.

The previous prime is 112001010100943. The next prime is 112001010101011. The reversal of 112001010101001 is 100101010100211.

It is not a de Polignac number, because 112001010101001 - 2⁷ = 112001010100873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (112001010101011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3163316481 + ... + 3163351886.

It is an arithmetic number, because the mean of its divisors is an integer number (7731188745696).

Almost surely, 2^{112001010101001} is an apocalyptic number.

It is an amenable number.

112001010101001 is a deficient number, since it is larger than the sum of its proper divisors (73547519795703).

112001010101001 is a wasteful number, since it uses less digits than its factorization.

112001010101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6326668661 (or 6326668658 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 112001010101001 its reverse (100101010100211), we get a palindrome (212102020201212).

The spelling of 112001010101001 in words is "one hundred twelve trillion, one billion, ten million, one hundred one thousand, one".