112101211101101 has 8 divisors (see below), whose sum is σ = 112150087472640. Its totient is φ = 112052342125152.

The previous prime is 112101211101091. The next prime is 112101211101109. The reversal of 112101211101101 is 101101112101211.

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 112101211101101 - 2¹⁰ = 112101211100077 is a prime.

It is a super-2 number, since 2×112101211101101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112101211101109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28582490 + ... + 32267028.

It is an arithmetic number, because the mean of its divisors is an integer number (14018760934080).

Almost surely, 2^{112101211101101} is an apocalyptic number.

It is an amenable number.

112101211101101 is a deficient number, since it is larger than the sum of its proper divisors (48876371539).

112101211101101 is a wasteful number, since it uses less digits than its factorization.

112101211101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697795.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 112101211101101 its reverse (101101112101211), we get a palindrome (213202323202312).

It can be divided in two parts, 112101211 and 101101, that multiplied together give a palindrome (11333544533311).

The spelling of 112101211101101 in words is "one hundred twelve trillion, one hundred one billion, two hundred eleven million, one hundred one thousand, one hundred one".