112002012101001 has 16 divisors (see below), whose sum is σ = 165343540255488. Its totient is φ = 66866872894800.

The previous prime is 112002012100997. The next prime is 112002012101009. The reversal of 112002012101001 is 100101210200211.

It is not a de Polignac number, because 112002012101001 - 2² = 112002012100997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112002012101009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25328358735 + ... + 25328363156.

It is an arithmetic number, because the mean of its divisors is an integer number (10333971265968).

Almost surely, 2^{112002012101001} is an apocalyptic number.

112002012101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112002012101001 is a deficient number, since it is larger than the sum of its proper divisors (53341528154487).

112002012101001 is a wasteful number, since it uses less digits than its factorization.

112002012101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50656721972.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112002012101001 its reverse (100101210200211), we get a palindrome (212103222301212).

The spelling of 112002012101001 in words is "one hundred twelve trillion, two billion, twelve million, one hundred one thousand, one".