100020221 has 12 divisors (see below), whose sum is σ = 116535132. Its totient is φ = 85595328.

The previous prime is 100020191. The next prime is 100020233. The reversal of 100020221 is 122020001.

It can be written as a sum of positive squares in 2 ways, for example, as 3705625 + 96314596 = 1925^2 + 9814^2 .

It is not a de Polignac number, because 100020221 - 2¹⁰ = 100019197 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100020199 and 100020208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40601 + ... + 42993.

It is an arithmetic number, because the mean of its divisors is an integer number (9711261).

Almost surely, 2^100020221 is an apocalyptic number.

It is an amenable number.

100020221 is a deficient number, since it is larger than the sum of its proper divisors (16514911).

100020221 is an equidigital number, since it uses as much as digits as its factorization.

100020221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3260 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 100020221 is about 10001.0109988941. The cubic root of 100020221 is about 464.1901671087.

Adding to 100020221 its reverse (122020001), we get a palindrome (222040222).

The spelling of 100020221 in words is "one hundred million, twenty thousand, two hundred twenty-one".