11001110021200 has 120 divisors (see below), whose sum is σ = 28465678987928. Its totient is φ = 4061602621440.

The previous prime is 11001110021197. The next prime is 11001110021243. The reversal of 11001110021200 is 212001110011.

It can be written as a sum of positive squares in 12 ways, for example, as 4293963107344 + 6707146913856 = 2072188^2 + 2589816^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65628694 + ... + 65796106.

Almost surely, 2^{11001110021200} is an apocalyptic number.

11001110021200 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 11001110021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14232839493964).

11001110021200 is an abundant number, since it is smaller than the sum of its proper divisors (17464568966728).

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

11001110021200 is a wasteful number, since it uses less digits than its factorization.

11001110021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180081 (or 180070 counting only the distinct ones).

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

Adding to 11001110021200 its reverse (212001110011), we get a palindrome (11213111131211).

The spelling of 11001110021200 in words is "eleven trillion, one billion, one hundred ten million, twenty-one thousand, two hundred".