100200221 has 6 divisors (see below), whose sum is σ = 110137566. Its totient is φ = 91091000.

The previous prime is 100200209. The next prime is 100200223. The reversal of 100200221 is 122002001.

It can be written as a sum of positive squares in only one way, i.e., 100200100 + 121 = 10010^2 + 11^2 .

It is a de Polignac number, because none of the positive numbers 2^k-100200221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100200199 and 100200208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200223) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 413930 + ... + 414171.

It is an arithmetic number, because the mean of its divisors is an integer number (18356261).

Almost surely, 2^100200221 is an apocalyptic number.

100200221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100200221 is a deficient number, since it is larger than the sum of its proper divisors (9937345).

100200221 is an equidigital number, since it uses as much as digits as its factorization.

100200221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828123 (or 828112 counting only the distinct ones).

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

The square root of 100200221 is about 10010.0060439542. The cubic root of 100200221 is about 464.4684580279.

Adding to 100200221 its reverse (122002001), we get a palindrome (222202222).

The spelling of 100200221 in words is "one hundred million, two hundred thousand, two hundred twenty-one".