110131000221000 has 512 divisors, whose sum is σ = 378635269409280. Its totient is φ = 26429855744000.

The previous prime is 110131000220971. The next prime is 110131000221001. The reversal of 110131000221000 is 122000131011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (110131000221001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1330155604 + ... + 1330238396.

It is an arithmetic number, because the mean of its divisors is an integer number (739522010565).

Almost surely, 2^{110131000221000} is an apocalyptic number.

110131000221000 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 110131000221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189317634704640).

110131000221000 is an abundant number, since it is smaller than the sum of its proper divisors (268504269188280).

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

110131000221000 is a wasteful number, since it uses less digits than its factorization.

110131000221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83234 (or 83220 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 110131000221000 its reverse (122000131011), we get a palindrome (110253000352011).

The spelling of 110131000221000 in words is "one hundred ten trillion, one hundred thirty-one billion, two hundred twenty-one thousand".