11221110100321 has 16 divisors (see below), whose sum is σ = 12273237587520. Its totient is φ = 10174322767680.

The previous prime is 11221110100309. The next prime is 11221110100367. The reversal of 11221110100321 is 12300101112211.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11221110100321 - 2³⁵ = 11186750361953 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11221110100295 and 11221110100304.

It is not an unprimeable number, because it can be changed into a prime (11221110100021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124375390 + ... + 124465576.

It is an arithmetic number, because the mean of its divisors is an integer number (767077349220).

Almost surely, 2^{11221110100321} is an apocalyptic number.

11221110100321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11221110100321 is a deficient number, since it is larger than the sum of its proper divisors (1052127487199).

11221110100321 is a wasteful number, since it uses less digits than its factorization.

11221110100321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119664.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 11221110100321 its reverse (12300101112211), we get a palindrome (23521211212532).

The spelling of 11221110100321 in words is "eleven trillion, two hundred twenty-one billion, one hundred ten million, one hundred thousand, three hundred twenty-one".