100223211121321 has 4 divisors (see below), whose sum is σ = 100468255647700. Its totient is φ = 99978166594944.

The previous prime is 100223211121273. The next prime is 100223211121339. The reversal of 100223211121321 is 123121112322001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 85071771646096 + 15151439475225 = 9223436^2 + 3892485^2 .

It is a cyclic number.

It is not a de Polignac number, because 100223211121321 - 2¹⁷ = 100223210990249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100223211121292 and 100223211121301.

It is not an unprimeable number, because it can be changed into a prime (100223211121351) 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 3 ways as a sum of consecutive naturals, for example, 122522262576 + ... + 122522263393.

It is an arithmetic number, because the mean of its divisors is an integer number (25117063911925).

Almost surely, 2^{100223211121321} is an apocalyptic number.

It is an amenable number.

100223211121321 is a deficient number, since it is larger than the sum of its proper divisors (245044526379).

100223211121321 is an equidigital number, since it uses as much as digits as its factorization.

100223211121321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245044526378.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 100223211121321 its reverse (123121112322001), we get a palindrome (223344323443322).

The spelling of 100223211121321 in words is "one hundred trillion, two hundred twenty-three billion, two hundred eleven million, one hundred twenty-one thousand, three hundred twenty-one".