11200210010020 has 24 divisors (see below), whose sum is σ = 23547886145784. Its totient is φ = 4474856361216.

The previous prime is 11200210009999. The next prime is 11200210010083. The reversal of 11200210010020 is 2001001200211.

It can be written as a sum of positive squares in 4 ways, for example, as 2007622612836 + 9192587397184 = 1416906^2 + 3031928^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11200210009979 and 11200210010006.

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 7 ways as a sum of consecutive naturals, for example, 326710107 + ... + 326744386.

It is an arithmetic number, because the mean of its divisors is an integer number (981161922741).

Almost surely, 2^{11200210010020} is an apocalyptic number.

11200210010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200210010020 is an abundant number, since it is smaller than the sum of its proper divisors (12347676135764).

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

11200210010020 is a wasteful number, since it uses less digits than its factorization.

11200210010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653455359 (or 653455357 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11200210010020 its reverse (2001001200211), we get a palindrome (13201211210231).

The spelling of 11200210010020 in words is "eleven trillion, two hundred billion, two hundred ten million, ten thousand, twenty".