11201010210020 has 24 divisors (see below), whose sum is σ = 24333229078200. Its totient is φ = 4325907391232.

The previous prime is 11201010210001. The next prime is 11201010210029. The reversal of 11201010210020 is 2001201010211.

It can be written as a sum of positive squares in 4 ways, for example, as 21509742244 + 11179500467776 = 146662^2 + 3343576^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11201010209983 and 11201010210010.

It is not an unprimeable number, because it can be changed into a prime (11201010210029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9656042705 + ... + 9656043864.

It is an arithmetic number, because the mean of its divisors is an integer number (1013884544925).

Almost surely, 2^{11201010210020} is an apocalyptic number.

11201010210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201010210020 is an abundant number, since it is smaller than the sum of its proper divisors (13132218868180).

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

11201010210020 is a wasteful number, since it uses less digits than its factorization.

11201010210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19312086607 (or 19312086605 counting only the distinct ones).

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

Adding to 11201010210020 its reverse (2001201010211), we get a palindrome (13202211220231).

The spelling of 11201010210020 in words is "eleven trillion, two hundred one billion, ten million, two hundred ten thousand, twenty".