22011000001221 has 64 divisors (see below), whose sum is σ = 36636411635712. Its totient is φ = 11419699680000.

The previous prime is 22011000001163. The next prime is 22011000001259. The reversal of 22011000001221 is 12210000011022.

It is not a de Polignac number, because 22011000001221 - 2²⁶ = 22010932892357 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22011000001197 and 22011000001206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22011000001321) 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 63 ways as a sum of consecutive naturals, for example, 927118411 + ... + 927142151.

It is an arithmetic number, because the mean of its divisors is an integer number (572443931808).

Almost surely, 2^{22011000001221} is an apocalyptic number.

22011000001221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22011000001221 is a deficient number, since it is larger than the sum of its proper divisors (14625411634491).

22011000001221 is a wasteful number, since it uses less digits than its factorization.

22011000001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28714.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22011000001221 its reverse (12210000011022), we get a palindrome (34221000012243).

The spelling of 22011000001221 in words is "twenty-two trillion, eleven billion, one thousand, two hundred twenty-one".