11010120121000 has 1152 divisors, whose sum is σ = 35789264259840. Its totient is φ = 3116316672000.

The previous prime is 11010120120949. The next prime is 11010120121001. The reversal of 11010120121000 is 12102101011.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11010120121001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 65928862917 + ... + 65928863083.

It is an arithmetic number, because the mean of its divisors is an integer number (31067069670).

Almost surely, 2^{11010120121000} is an apocalyptic number.

11010120121000 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 11010120121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17894632129920).

11010120121000 is an abundant number, since it is smaller than the sum of its proper divisors (24779144138840).

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

11010120121000 is a wasteful number, since it uses less digits than its factorization.

11010120121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 302 counting only the distinct ones).

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

Adding to 11010120121000 its reverse (12102101011), we get a palindrome (11022222222011).

The spelling of 11010120121000 in words is "eleven trillion, ten billion, one hundred twenty million, one hundred twenty-one thousand".