110001102001112 has 128 divisors (see below), whose sum is σ = 246761551872000. Its totient is φ = 44947824058368.

The previous prime is 110001102001081. The next prime is 110001102001123. The reversal of 110001102001112 is 211100201100011.

It is a junction number, because it is equal to n+sod(n) for n = 110001102001093 and 110001102001102.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 576481673 + ... + 576672455.

It is an arithmetic number, because the mean of its divisors is an integer number (1927824624000).

Almost surely, 2^{110001102001112} 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 110001102001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123380775936000).

110001102001112 is an abundant number, since it is smaller than the sum of its proper divisors (136760449870888).

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

110001102001112 is a wasteful number, since it uses less digits than its factorization.

110001102001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192265 (or 192261 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 110001102001112 its reverse (211100201100011), we get a palindrome (321101303101123).

The spelling of 110001102001112 in words is "one hundred ten trillion, one billion, one hundred two million, one thousand, one hundred twelve".