11201010221100 has 144 divisors (see below), whose sum is σ = 37042254144000. Its totient is φ = 2559937336320.

The previous prime is 11201010221083. The next prime is 11201010221123. The reversal of 11201010221100 is 112201010211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 18281521 + ... + 18884279.

It is an arithmetic number, because the mean of its divisors is an integer number (257237876000).

Almost surely, 2^{11201010221100} is an apocalyptic number.

11201010221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201010221100 is an abundant number, since it is smaller than the sum of its proper divisors (25841243922900).

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

11201010221100 is a wasteful number, since it uses less digits than its factorization.

11201010221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611632 (or 611625 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11201010221100 its reverse (112201010211), we get a palindrome (11313211231311).

The spelling of 11201010221100 in words is "eleven trillion, two hundred one billion, ten million, two hundred twenty-one thousand, one hundred".