100100001100221 has 24 divisors (see below), whose sum is σ = 145552639662144. Its totient is φ = 66288564446400.

The previous prime is 100100001100219. The next prime is 100100001100237. The reversal of 100100001100221 is 122001100001001.

It is a happy number.

It is not a de Polignac number, because 100100001100221 - 2¹ = 100100001100219 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100001100261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30550345 + ... + 33667841.

It is an arithmetic number, because the mean of its divisors is an integer number (6064693319256).

Almost surely, 2^{100100001100221} is an apocalyptic number.

It is an amenable number.

100100001100221 is a deficient number, since it is larger than the sum of its proper divisors (45452638561923).

100100001100221 is a wasteful number, since it uses less digits than its factorization.

100100001100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3141281 (or 3141278 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100100001100221 its reverse (122001100001001), we get a palindrome (222101101101222).

The spelling of 100100001100221 in words is "one hundred trillion, one hundred billion, one million, one hundred thousand, two hundred twenty-one".