110022112000000 has 672 divisors, whose sum is σ = 283042777006080. Its totient is φ = 42735104000000.

The previous prime is 110022111999967. The next prime is 110022112000039. The reversal of 110022112000000 is 211220011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 287263999809 + ... + 287264000191.

It is an arithmetic number, because the mean of its divisors is an integer number (421194608640).

Almost surely, 2^{110022112000000} is an apocalyptic number.

110022112000000 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 110022112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141521388503040).

110022112000000 is an abundant number, since it is smaller than the sum of its proper divisors (173020665006080).

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

110022112000000 is an frugal number, since it uses more digits than its factorization.

110022112000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 110022112000000 its reverse (211220011), we get a palindrome (110022323220011).

The spelling of 110022112000000 in words is "one hundred ten trillion, twenty-two billion, one hundred twelve million", and thus it is an aban number.