110211012021120 has 128 divisors (see below), whose sum is σ = 353861817726240. Its totient is φ = 29175080484864.

The previous prime is 110211012021017. The next prime is 110211012021133. The reversal of 110211012021120 is 21120210112011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 110211012021120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209231737 + ... + 209757816.

Almost surely, 2^{110211012021120} is an apocalyptic number.

110211012021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110211012021120 is an abundant number, since it is smaller than the sum of its proper divisors (243650805705120).

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

110211012021120 is a wasteful number, since it uses less digits than its factorization.

110211012021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418989712 (or 418989700 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 110211012021120 its reverse (21120210112011), we get a palindrome (131331222133131).

The spelling of 110211012021120 in words is "one hundred ten trillion, two hundred eleven billion, twelve million, twenty-one thousand, one hundred twenty".