11001020121000 has 768 divisors, whose sum is σ = 48172956249600. Its totient is φ = 2198928384000.

The previous prime is 11001020120969. The next prime is 11001020121011. The reversal of 11001020121000 is 12102010011.

It is a happy number.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15207520 + ... + 15914480.

It is an arithmetic number, because the mean of its divisors is an integer number (62725203450).

Almost surely, 2^{11001020121000} is an apocalyptic number.

11001020121000 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 11001020121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24086478124800).

11001020121000 is an abundant number, since it is smaller than the sum of its proper divisors (37171936128600).

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

11001020121000 is a wasteful number, since it uses less digits than its factorization.

11001020121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707027 (or 707010 counting only the distinct ones).

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

Adding to 11001020121000 its reverse (12102010011), we get a palindrome (11013122131011).

The spelling of 11001020121000 in words is "eleven trillion, one billion, twenty million, one hundred twenty-one thousand".