11001021020100 has 54 divisors (see below), whose sum is σ = 34482089222490. Its totient is φ = 2933605605120.

The previous prime is 11001021020071. The next prime is 11001021020111. The reversal of 11001021020100 is 102012010011.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2357526859776 + 8643494160324 = 1535424^2 + 2939982^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6111677445 + ... + 6111679244.

Almost surely, 2^{11001021020100} is an apocalyptic number.

11001021020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001021020100 is an abundant number, since it is smaller than the sum of its proper divisors (23481068202390).

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

11001021020100 is a wasteful number, since it uses less digits than its factorization.

11001021020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12223356709 (or 12223356699 counting only the distinct ones).

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

Adding to 11001021020100 its reverse (102012010011), we get a palindrome (11103033030111).

The spelling of 11001021020100 in words is "eleven trillion, one billion, twenty-one million, twenty thousand, one hundred".