11200000002201 has 24 divisors (see below), whose sum is σ = 16580142993960. Its totient is φ = 7281130752000.

The previous prime is 11200000002199. The next prime is 11200000002209. The reversal of 11200000002201 is 10220000000211.

It can be written as a sum of positive squares in 4 ways, for example, as 1651584819600 + 9548415182601 = 1285140^2 + 3090051^2 .

It is not a de Polignac number, because 11200000002201 - 2¹ = 11200000002199 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (11200000002209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6342700 + ... + 7913901.

It is an arithmetic number, because the mean of its divisors is an integer number (690839291415).

Almost surely, 2^{11200000002201} is an apocalyptic number.

It is an amenable number.

11200000002201 is a deficient number, since it is larger than the sum of its proper divisors (5380142991759).

11200000002201 is a wasteful number, since it uses less digits than its factorization.

11200000002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14258777 (or 14258774 counting only the distinct ones).

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

Adding to 11200000002201 its reverse (10220000000211), we get a palindrome (21420000002412).

The spelling of 11200000002201 in words is "eleven trillion, two hundred billion, two thousand, two hundred one".