100002021221 has 8 divisors (see below), whose sum is σ = 100587225720. Its totient is φ = 99418108608.

The previous prime is 100002021137. The next prime is 100002021233. The reversal of 100002021221 is 122120200001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 36844802500 + 63157218721 = 191950^2 + 251311^2 .

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 100002021221 - 2¹⁰ = 100002020197 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 (100002021521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167486 + ... + 477551.

It is an arithmetic number, because the mean of its divisors is an integer number (12573403215).

Almost surely, 2^100002021221 is an apocalyptic number.

It is an amenable number.

100002021221 is a deficient number, since it is larger than the sum of its proper divisors (585204499).

100002021221 is an equidigital number, since it uses as much as digits as its factorization.

100002021221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645943.

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

Adding to 100002021221 its reverse (122120200001), we get a palindrome (222122221222).

The spelling of 100002021221 in words is "one hundred billion, two million, twenty-one thousand, two hundred twenty-one".