110110212211120 has 80 divisors (see below), whose sum is σ = 281288743868160. Its totient is φ = 39752019014400.

The previous prime is 110110212211073. The next prime is 110110212211151. The reversal of 110110212211120 is 21112212011011.

110110212211120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 110110212211094 and 110110212211103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449968476 + ... + 450213115.

It is an arithmetic number, because the mean of its divisors is an integer number (3516109298352).

Almost surely, 2^{110110212211120} is an apocalyptic number.

110110212211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110110212211120 is an abundant number, since it is smaller than the sum of its proper divisors (171178531657040).

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

110110212211120 is a wasteful number, since it uses less digits than its factorization.

110110212211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900181754 (or 900181748 counting only the distinct ones).

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

Adding to 110110212211120 its reverse (21112212011011), we get a palindrome (131222424222131).

The spelling of 110110212211120 in words is "one hundred ten trillion, one hundred ten billion, two hundred twelve million, two hundred eleven thousand, one hundred twenty".