112101211101001 has 8 divisors (see below), whose sum is σ = 112114822120704. Its totient is φ = 112087600933440.

The previous prime is 112101211100969. The next prime is 112101211101017. The reversal of 112101211101001 is 100101112101211.

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 112101211101001 - 2⁵ = 112101211100969 is a prime.

It is a super-3 number, since 3×112101211101001³ (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 (112101211101091) 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, 285712980 + ... + 286105066.

It is an arithmetic number, because the mean of its divisors is an integer number (14014352765088).

Almost surely, 2^{112101211101001} is an apocalyptic number.

It is an amenable number.

112101211101001 is a deficient number, since it is larger than the sum of its proper divisors (13611019703).

112101211101001 is a wasteful number, since it uses less digits than its factorization.

112101211101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426071.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 112101211101001 its reverse (100101112101211), we get a palindrome (212202323202212).

The spelling of 112101211101001 in words is "one hundred twelve trillion, one hundred one billion, two hundred eleven million, one hundred one thousand, one".