11021112001000 has 128 divisors (see below), whose sum is σ = 26333527952160. Its totient is φ = 4316313600000.

The previous prime is 11021112000953. The next prime is 11021112001007. The reversal of 11021112001000 is 10021112011.

It can be written as a sum of positive squares in 16 ways, for example, as 522980634276 + 10498131366724 = 723174^2 + 3240082^2 .

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 (11021112001007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9450000 + ... + 10552000.

Almost surely, 2^{11021112001000} is an apocalyptic number.

11021112001000 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 11021112001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13166763976080).

11021112001000 is an abundant number, since it is smaller than the sum of its proper divisors (15312415951160).

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

11021112001000 is a wasteful number, since it uses less digits than its factorization.

11021112001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102232 (or 1102218 counting only the distinct ones).

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

Adding to 11021112001000 its reverse (10021112011), we get a palindrome (11031133113011).

The spelling of 11021112001000 in words is "eleven trillion, twenty-one billion, one hundred twelve million, one thousand".