10100002221 has 24 divisors (see below), whose sum is σ = 15027813944. Its totient is φ = 6531840000.

The previous prime is 10100002207. The next prime is 10100002247. The reversal of 10100002221 is 12220000101.

It can be written as a sum of positive squares in 4 ways, for example, as 6098048100 + 4001954121 = 78090^2 + 63261^2 .

It is not a de Polignac number, because 10100002221 - 2⁷ = 10100002093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100002201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67221 + ... + 157221.

Almost surely, 2^10100002221 is an apocalyptic number.

It is an amenable number.

10100002221 is a deficient number, since it is larger than the sum of its proper divisors (4927811723).

10100002221 is a wasteful number, since it uses less digits than its factorization.

10100002221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90381 (or 90378 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10100002221 its reverse (12220000101), we get a palindrome (22320002322).

The spelling of 10100002221 in words is "ten billion, one hundred million, two thousand, two hundred twenty-one".