100002102221 has 6 divisors (see below), whose sum is σ = 116328976110. Its totient is φ = 85716087576.

The previous prime is 100002102197. The next prime is 100002102227. The reversal of 100002102221 is 122201200001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 91466929225 + 8535172996 = 302435^2 + 92386^2 .

It is not a de Polignac number, because 100002102221 - 2¹⁴ = 100002085837 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002102227) 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, 1020429566 + ... + 1020429663.

It is an arithmetic number, because the mean of its divisors is an integer number (19388162685).

Almost surely, 2^100002102221 is an apocalyptic number.

It is an amenable number.

100002102221 is a deficient number, since it is larger than the sum of its proper divisors (16326873889).

100002102221 is an equidigital number, since it uses as much as digits as its factorization.

100002102221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040859243 (or 2040859236 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100002102221 its reverse (122201200001), we get a palindrome (222203302222).

The spelling of 100002102221 in words is "one hundred billion, two million, one hundred two thousand, two hundred twenty-one".