110002101212120 has 128 divisors (see below), whose sum is σ = 268114036780800. Its totient is φ = 40376986535424.

The previous prime is 110002101212039. The next prime is 110002101212149. The reversal of 110002101212120 is 21212101200011.

It is a junction number, because it is equal to n+sod(n) for n = 110002101212095 and 110002101212104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309127019 + ... + 309482661.

It is an arithmetic number, because the mean of its divisors is an integer number (2094640912350).

Almost surely, 2^{110002101212120} is an apocalyptic number.

110002101212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110002101212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134057018390400).

110002101212120 is an abundant number, since it is smaller than the sum of its proper divisors (158111935568680).

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

110002101212120 is a wasteful number, since it uses less digits than its factorization.

110002101212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359169 (or 359165 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110002101212120 its reverse (21212101200011), we get a palindrome (131214202412131).

The spelling of 110002101212120 in words is "one hundred ten trillion, two billion, one hundred one million, two hundred twelve thousand, one hundred twenty".