100221101001 has 24 divisors (see below), whose sum is σ = 166368646080. Its totient is φ = 56949254496.

The previous prime is 100221100999. The next prime is 100221101003. The reversal of 100221101001 is 100101122001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100221100999) and next prime (100221101003).

It is not a de Polignac number, because 100221101001 - 2¹ = 100221100999 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (100221101003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4432330 + ... + 4454883.

It is an arithmetic number, because the mean of its divisors is an integer number (6932026920).

Almost surely, 2^100221101001 is an apocalyptic number.

It is an amenable number.

100221101001 is a deficient number, since it is larger than the sum of its proper divisors (66147545079).

100221101001 is a wasteful number, since it uses less digits than its factorization.

100221101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8887405 (or 8887402 counting only the distinct ones).

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

Adding to 100221101001 its reverse (100101122001), we get a palindrome (200322223002).

The spelling of 100221101001 in words is "one hundred billion, two hundred twenty-one million, one hundred one thousand, one".