100223223221 has 10 divisors (see below), whose sum is σ = 110244877110. Its totient is φ = 91112007800.

The previous prime is 100223223197. The next prime is 100223223271. The reversal of 100223223221 is 122322322001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 70283842321 + 29939380900 = 265111^2 + 173030^2 .

It is a de Polignac number, because none of the positive numbers 2^k-100223223221 is a prime.

It is a super-2 number, since 2×100223223221² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100223223193 and 100223223202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100223223271) 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 9 ways as a sum of consecutive naturals, for example, 3408050 + ... + 3437331.

It is an arithmetic number, because the mean of its divisors is an integer number (11024487711).

Almost surely, 2^100223223221 is an apocalyptic number.

100223223221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100223223221 is a deficient number, since it is larger than the sum of its proper divisors (10021653889).

100223223221 is an frugal number, since it uses more digits than its factorization.

100223223221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6845425 (or 6845392 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 100223223221 its reverse (122322322001), we get a palindrome (222545545222).

The spelling of 100223223221 in words is "one hundred billion, two hundred twenty-three million, two hundred twenty-three thousand, two hundred twenty-one".