11001020200020 has 72 divisors (see below), whose sum is σ = 33370045679880. Its totient is φ = 2933580384000.

The previous prime is 11001020200013. The next prime is 11001020200033. The reversal of 11001020200020 is 2000202010011.

It can be written as a sum of positive squares in 4 ways, for example, as 3477881848464 + 7523138351556 = 1864908^2 + 2742834^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11001020199975 and 11001020200011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31958986 + ... + 32301374.

It is an arithmetic number, because the mean of its divisors is an integer number (463472856665).

Almost surely, 2^{11001020200020} is an apocalyptic number.

11001020200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001020200020 is an abundant number, since it is smaller than the sum of its proper divisors (22369025479860).

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

11001020200020 is a wasteful number, since it uses less digits than its factorization.

11001020200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520905 (or 520900 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11001020200020 its reverse (2000202010011), we get a palindrome (13001222210031).

The spelling of 11001020200020 in words is "eleven trillion, one billion, twenty million, two hundred thousand, twenty".