110121110000 has 200 divisors, whose sum is σ = 291433811328. Its totient is φ = 39964000000.

The previous prime is 110121109999. The next prime is 110121110009. The reversal of 110121110000 is 11121011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 110121110000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110121110009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 106809485 + ... + 106810515.

Almost surely, 2^110121110000 is an apocalyptic number.

110121110000 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 110121110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145716905664).

110121110000 is an abundant number, since it is smaller than the sum of its proper divisors (181312701328).

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

110121110000 is a wasteful number, since it uses less digits than its factorization.

110121110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 110121110000 its reverse (11121011), we get a palindrome (110132231011).

The spelling of 110121110000 in words is "one hundred ten billion, one hundred twenty-one million, one hundred ten thousand".