100100102221 has 24 divisors (see below), whose sum is σ = 119207209464. Its totient is φ = 83786572800.

The previous prime is 100100102203. The next prime is 100100102237. The reversal of 100100102221 is 122201001001.

It can be written as a sum of positive squares in 4 ways, for example, as 37029304900 + 63070797321 = 192430^2 + 251139^2 .

It is not a de Polignac number, because 100100102221 - 2¹¹ = 100100100173 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100100102198 and 100100102207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100102251) 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, 222741 + ... + 499813.

It is an arithmetic number, because the mean of its divisors is an integer number (4966967061).

Almost surely, 2^100100102221 is an apocalyptic number.

It is an amenable number.

100100102221 is a deficient number, since it is larger than the sum of its proper divisors (19107107243).

100100102221 is a wasteful number, since it uses less digits than its factorization.

100100102221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277261 (or 277254 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100100102221 its reverse (122201001001), we get a palindrome (222301103222).

The spelling of 100100102221 in words is "one hundred billion, one hundred million, one hundred two thousand, two hundred twenty-one".