110021212111120 has 120 divisors (see below), whose sum is σ = 258672450528576. Its totient is φ = 43518106312704.

The previous prime is 110021212111043. The next prime is 110021212111121. The reversal of 110021212111120 is 21111212120011.

It is a super-2 number, since 2×110021212111120² (a number of 29 digits) contains 22 as substring.

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 = 110021212111094 and 110021212111103.

It is not an unprimeable number, because it can be changed into a prime (110021212111121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 497536099 + ... + 497757181.

Almost surely, 2^{110021212111120} is an apocalyptic number.

110021212111120 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 110021212111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129336225264288).

110021212111120 is an abundant number, since it is smaller than the sum of its proper divisors (148651238417456).

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

110021212111120 is a wasteful number, since it uses less digits than its factorization.

110021212111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221649 (or 221450 counting only the distinct ones).

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

Adding to 110021212111120 its reverse (21111212120011), we get a palindrome (131132424231131).

The spelling of 110021212111120 in words is "one hundred ten trillion, twenty-one billion, two hundred twelve million, one hundred eleven thousand, one hundred twenty".