110211211120 has 40 divisors (see below), whose sum is σ = 262490855760. Its totient is φ = 43009251840.

The previous prime is 110211211087. The next prime is 110211211151. The reversal of 110211211120 is 21112112011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×110211211120² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 110211211120.

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 7 ways as a sum of consecutive naturals, for example, 16797210 + ... + 16803769.

It is an arithmetic number, because the mean of its divisors is an integer number (6562271394).

Almost surely, 2^110211211120 is an apocalyptic number.

110211211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110211211120 is an abundant number, since it is smaller than the sum of its proper divisors (152279644640).

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

110211211120 is a wasteful number, since it uses less digits than its factorization.

110211211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33601033 (or 33601027 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 110211211120 its reverse (21112112011), we get a palindrome (131323323131).

The spelling of 110211211120 in words is "one hundred ten billion, two hundred eleven million, two hundred eleven thousand, one hundred twenty".