110121020010000 has 600 divisors, whose sum is σ = 386584575336960. Its totient is φ = 29253312000000.

The previous prime is 110121020009963. The next prime is 110121020010013. The reversal of 110121020010000 is 10020121011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 35765188461 + ... + 35765191539.

Almost surely, 2^{110121020010000} is an apocalyptic number.

110121020010000 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 110121020010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193292287668480).

110121020010000 is an abundant number, since it is smaller than the sum of its proper divisors (276463555326960).

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

110121020010000 is a wasteful number, since it uses less digits than its factorization.

110121020010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4505 (or 4481 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110121020010000 its reverse (10020121011), we get a palindrome (110131040131011).

The spelling of 110121020010000 in words is "one hundred ten trillion, one hundred twenty-one billion, twenty million, ten thousand".