110131013010200 has 576 divisors, whose sum is σ = 333441050281920. Its totient is φ = 32937062400000.

The previous prime is 110131013010191. The next prime is 110131013010211. The reversal of 110131013010200 is 2010310131011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 2634629300 + ... + 2634671100.

It is an arithmetic number, because the mean of its divisors is an integer number (578890712295).

Almost surely, 2^{110131013010200} is an apocalyptic number.

110131013010200 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 110131013010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166720525140960).

110131013010200 is an abundant number, since it is smaller than the sum of its proper divisors (223310037271720).

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

110131013010200 is a wasteful number, since it uses less digits than its factorization.

110131013010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42276 (or 42248 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 110131013010200 its reverse (2010310131011), we get a palindrome (112141323141211).

The spelling of 110131013010200 in words is "one hundred ten trillion, one hundred thirty-one billion, thirteen million, ten thousand, two hundred".