11221022211201 has 192 divisors, whose sum is σ = 19541343744000. Its totient is φ = 6129956413440.

The previous prime is 11221022211151. The next prime is 11221022211211. The reversal of 11221022211201 is 10211222012211.

11221022211201 is a `hidden beast` number, since 11 + 221 + 0 + 22 + 211 + 201 = 666.

It is not a de Polignac number, because 11221022211201 - 2¹¹ = 11221022209153 is a prime.

It is a super-2 number, since 2×11221022211201² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11221022211211) 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 191 ways as a sum of consecutive naturals, for example, 792493960 + ... + 792508118.

It is an arithmetic number, because the mean of its divisors is an integer number (101777832000).

Almost surely, 2^{11221022211201} is an apocalyptic number.

11221022211201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11221022211201 is a deficient number, since it is larger than the sum of its proper divisors (8320321532799).

11221022211201 is a wasteful number, since it uses less digits than its factorization.

11221022211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14484 (or 14481 counting only the distinct ones).

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

Adding to 11221022211201 its reverse (10211222012211), we get a palindrome (21432244223412).

The spelling of 11221022211201 in words is "eleven trillion, two hundred twenty-one billion, twenty-two million, two hundred eleven thousand, two hundred one".