110212102021120 has 448 divisors, whose sum is σ = 309455818536960. Its totient is φ = 37251278438400.

The previous prime is 110212102021037. The next prime is 110212102021127. The reversal of 110212102021120 is 21120201212011.

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 = 110212102021094 and 110212102021103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110212102021127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 453592465 + ... + 453835375.

Almost surely, 2^{110212102021120} is an apocalyptic number.

110212102021120 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 110212102021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154727909268480).

110212102021120 is an abundant number, since it is smaller than the sum of its proper divisors (199243716515840).

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

110212102021120 is a wasteful number, since it uses less digits than its factorization.

110212102021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243025 (or 243001 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 110212102021120 its reverse (21120201212011), we get a palindrome (131332303233131).

The spelling of 110212102021120 in words is "one hundred ten trillion, two hundred twelve billion, one hundred two million, twenty-one thousand, one hundred twenty".