11110121120010 has 192 divisors, whose sum is σ = 29505532129920. Its totient is φ = 2675292364800.

The previous prime is 11110121119967. The next prime is 11110121120069. The reversal of 11110121120010 is 1002112101111.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1278637746 + ... + 1278646434.

It is an arithmetic number, because the mean of its divisors is an integer number (153674646510).

Almost surely, 2^{11110121120010} is an apocalyptic number.

11110121120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11110121120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14752766064960).

11110121120010 is an abundant number, since it is smaller than the sum of its proper divisors (18395411009910).

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

11110121120010 is a wasteful number, since it uses less digits than its factorization.

11110121120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11045 (or 11034 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11110121120010 its reverse (1002112101111), we get a palindrome (12112233221121).

The spelling of 11110121120010 in words is "eleven trillion, one hundred ten billion, one hundred twenty-one million, one hundred twenty thousand, ten".