100221021221 has 8 divisors (see below), whose sum is σ = 101869023864. Its totient is φ = 98573181120.

The previous prime is 100221021217. The next prime is 100221021253. The reversal of 100221021221 is 122120122001.

It can be written as a sum of positive squares in 4 ways, for example, as 3026100100 + 97194921121 = 55010^2 + 311761^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100221021221 - 2² = 100221021217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100221021196 and 100221021205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221021211) 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 7 ways as a sum of consecutive naturals, for example, 2308511 + ... + 2351523.

It is an arithmetic number, because the mean of its divisors is an integer number (12733627983).

Almost surely, 2^100221021221 is an apocalyptic number.

It is an amenable number.

100221021221 is a deficient number, since it is larger than the sum of its proper divisors (1648002643).

100221021221 is an equidigital number, since it uses as much as digits as its factorization.

100221021221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81271.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100221021221 its reverse (122120122001), we get a palindrome (222341143222).

The spelling of 100221021221 in words is "one hundred billion, two hundred twenty-one million, twenty-one thousand, two hundred twenty-one".