110122101113312 has 96 divisors (see below), whose sum is σ = 222325785799488. Its totient is φ = 53672607645696.

The previous prime is 110122101113293. The next prime is 110122101113341. The reversal of 110122101113312 is 213311101221011.

It is a super-3 number, since 3×110122101113312³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 15 ways as a sum of consecutive naturals, for example, 252806933 + ... + 253242155.

It is an arithmetic number, because the mean of its divisors is an integer number (2315893602078).

Almost surely, 2^{110122101113312} 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 110122101113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111162892899744).

110122101113312 is an abundant number, since it is smaller than the sum of its proper divisors (112203684686176).

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

110122101113312 is a wasteful number, since it uses less digits than its factorization.

110122101113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436252 (or 436244 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 110122101113312 its reverse (213311101221011), we get a palindrome (323433202334323).

The spelling of 110122101113312 in words is "one hundred ten trillion, one hundred twenty-two billion, one hundred one million, one hundred thirteen thousand, three hundred twelve".