11001021220100 has 72 divisors (see below), whose sum is σ = 25277266792008. Its totient is φ = 4141429401600.

The previous prime is 11001021220081. The next prime is 11001021220109. The reversal of 11001021220100 is 102212010011.

It can be written as a sum of positive squares in 12 ways, for example, as 2673329641024 + 8327691579076 = 1635032^2 + 2885774^2 .

It is not an unprimeable number, because it can be changed into a prime (11001021220109) 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 23 ways as a sum of consecutive naturals, for example, 65912354 + ... + 66079046.

It is an arithmetic number, because the mean of its divisors is an integer number (351073149889).

Almost surely, 2^{11001021220100} is an apocalyptic number.

11001021220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001021220100 is an abundant number, since it is smaller than the sum of its proper divisors (14276245571908).

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

11001021220100 is a wasteful number, since it uses less digits than its factorization.

11001021220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205545 (or 205538 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11001021220100 its reverse (102212010011), we get a palindrome (11103233230111).

The spelling of 11001021220100 in words is "eleven trillion, one billion, twenty-one million, two hundred twenty thousand, one hundred".