110021034014000 has 320 divisors, whose sum is σ = 290981513991168. Its totient is φ = 40113190656000.

The previous prime is 110021034013999. The next prime is 110021034014083. The reversal of 110021034014000 is 410430120011.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 110021034014000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80419679 + ... + 81776321.

Almost surely, 2^{110021034014000} is an apocalyptic number.

110021034014000 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 110021034014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145490756995584).

110021034014000 is an abundant number, since it is smaller than the sum of its proper divisors (180960479977168).

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

110021034014000 is a wasteful number, since it uses less digits than its factorization.

110021034014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356773 (or 1356757 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 110021034014000 its reverse (410430120011), we get a palindrome (110431464134011).

The spelling of 110021034014000 in words is "one hundred ten trillion, twenty-one billion, thirty-four million, fourteen thousand".