11221201100205 has 12 divisors (see below), whose sum is σ = 19450081907100. Its totient is φ = 5984640586752.

The previous prime is 11221201100149. The next prime is 11221201100297. The reversal of 11221201100205 is 50200110212211.

It can be written as a sum of positive squares in 2 ways, for example, as 3086367321636 + 8134833778569 = 1756806^2 + 2852163^2 .

It is not a de Polignac number, because 11221201100205 - 2²⁴ = 11221184322989 is a prime.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 124680012180 + ... + 124680012269.

It is an arithmetic number, because the mean of its divisors is an integer number (1620840158925).

Almost surely, 2^{11221201100205} is an apocalyptic number.

11221201100205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11221201100205 is a deficient number, since it is larger than the sum of its proper divisors (8228880806895).

11221201100205 is a wasteful number, since it uses less digits than its factorization.

11221201100205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249360024460 (or 249360024457 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 11221201100205 its reverse (50200110212211), we get a palindrome (61421311312416).

The spelling of 11221201100205 in words is "eleven trillion, two hundred twenty-one billion, two hundred one million, one hundred thousand, two hundred five".