11001002121000 has 640 divisors, whose sum is σ = 39115960884000. Its totient is φ = 2883564748800.

The previous prime is 11001002120987. The next prime is 11001002121001. The reversal of 11001002121000 is 12120010011.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 5799783659076 + 5201218461924 = 2408274^2 + 2280618^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11001002121001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1170688302 + ... + 1170697698.

Almost surely, 2^{11001002121000} is an apocalyptic number.

11001002121000 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 11001002121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19557980442000).

11001002121000 is an abundant number, since it is smaller than the sum of its proper divisors (28114958763000).

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

11001002121000 is a wasteful number, since it uses less digits than its factorization.

11001002121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9676 (or 9653 counting only the distinct ones).

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

Adding to 11001002121000 its reverse (12120010011), we get a palindrome (11013122131011).

The spelling of 11001002121000 in words is "eleven trillion, one billion, two million, one hundred twenty-one thousand".