110101121002112 has 128 divisors (see below), whose sum is σ = 232545677535360. Its totient is φ = 51745159544832.

The previous prime is 110101121002079. The next prime is 110101121002141. The reversal of 110101121002112 is 211200121101011.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5656935293 + ... + 5656954755.

It is an arithmetic number, because the mean of its divisors is an integer number (1816763105745).

Almost surely, 2^{110101121002112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110101121002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116272838767680).

110101121002112 is an abundant number, since it is smaller than the sum of its proper divisors (122444556533248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110101121002112 is a wasteful number, since it uses less digits than its factorization.

110101121002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22730 (or 22718 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 110101121002112 its reverse (211200121101011), we get a palindrome (321301242103123).

The spelling of 110101121002112 in words is "one hundred ten trillion, one hundred one billion, one hundred twenty-one million, two thousand, one hundred twelve".