11221201211121 has 48 divisors (see below), whose sum is σ = 18451335576960. Its totient is φ = 6504809794560.

The previous prime is 11221201211107. The next prime is 11221201211131. The reversal of 11221201211121 is 12111210212211.

It is a happy number.

11221201211121 is a `hidden beast` number, since 11 + 221 + 201 + 211 + 1 + 21 = 666.

It is not a de Polignac number, because 11221201211121 - 2¹¹ = 11221201209073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11221201211094 and 11221201211103.

It is not an unprimeable number, because it can be changed into a prime (11221201211131) 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, 78323265 + ... + 78466401.

It is an arithmetic number, because the mean of its divisors is an integer number (384402824520).

Almost surely, 2^{11221201211121} is an apocalyptic number.

11221201211121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11221201211121 is a deficient number, since it is larger than the sum of its proper divisors (7230134365839).

11221201211121 is a wasteful number, since it uses less digits than its factorization.

11221201211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177606 (or 177603 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11221201211121 its reverse (12111210212211), we get a palindrome (23332411423332).

The spelling of 11221201211121 in words is "eleven trillion, two hundred twenty-one billion, two hundred one million, two hundred eleven thousand, one hundred twenty-one".