110121120010000 has 200 divisors, whose sum is σ = 290873082243744. Its totient is φ = 40041127680000.

The previous prime is 110121120009983. The next prime is 110121120010007. The reversal of 110121120010000 is 10021121011.

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

It is a super-2 number, since 2×110121120010000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (110121120010007) 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, 2018802727 + ... + 2018857273.

Almost surely, 2^{110121120010000} is an apocalyptic number.

110121120010000 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 110121120010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145436541121872).

110121120010000 is an abundant number, since it is smaller than the sum of its proper divisors (180751962233744).

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

110121120010000 is a wasteful number, since it uses less digits than its factorization.

110121120010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72939 (or 72918 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110121120010000 its reverse (10021121011), we get a palindrome (110131141131011).

The spelling of 110121120010000 in words is "one hundred ten trillion, one hundred twenty-one billion, one hundred twenty million, ten thousand".