11102201212221 has 48 divisors (see below), whose sum is σ = 18628620965760. Its totient is φ = 6239869292160.

The previous prime is 11102201212199. The next prime is 11102201212273. The reversal of 11102201212221 is 12221210220111.

11102201212221 is a `hidden beast` number, since 1 + 1 + 10 + 220 + 1 + 212 + 221 = 666.

It is not a de Polignac number, because 11102201212221 - 2⁴³ = 2306108190013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11102201212194 and 11102201212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102201212021) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 150720226 + ... + 150793868.

It is an arithmetic number, because the mean of its divisors is an integer number (388096270120).

Almost surely, 2^{11102201212221} is an apocalyptic number.

It is an amenable number.

11102201212221 is a deficient number, since it is larger than the sum of its proper divisors (7526419753539).

11102201212221 is a wasteful number, since it uses less digits than its factorization.

11102201212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112946 (or 112943 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11102201212221 its reverse (12221210220111), we get a palindrome (23323411432332).

The spelling of 11102201212221 in words is "eleven trillion, one hundred two billion, two hundred one million, two hundred twelve thousand, two hundred twenty-one".