112101122100001 has 8 divisors (see below), whose sum is σ = 112131273647808. Its totient is φ = 112070973570000.

The previous prime is 112101122099977. The next prime is 112101122100017. The reversal of 112101122100001 is 100001221101211.

It is a happy number.

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 112101122100001 - 2⁵ = 112101122099969 is a prime.

It is a super-3 number, since 3×112101122100001³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112101122100301) 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, 74556951 + ... + 76045651.

It is an arithmetic number, because the mean of its divisors is an integer number (14016409205976).

Almost surely, 2^{112101122100001} is an apocalyptic number.

It is an amenable number.

112101122100001 is a deficient number, since it is larger than the sum of its proper divisors (30151547807).

112101122100001 is a wasteful number, since it uses less digits than its factorization.

112101122100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508903.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 112101122100001 its reverse (100001221101211), we get a palindrome (212102343201212).

The spelling of 112101122100001 in words is "one hundred twelve trillion, one hundred one billion, one hundred twenty-two million, one hundred thousand, one".