100221410401 has 16 divisors (see below), whose sum is σ = 116604818560. Its totient is φ = 84359076480.

The previous prime is 100221410383. The next prime is 100221410417. The reversal of 100221410401 is 104014122001.

It is a happy number.

It is not a de Polignac number, because 100221410401 - 2¹⁷ = 100221279329 is a prime.

It is a super-2 number, since 2×100221410401² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100221410441) 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 15 ways as a sum of consecutive naturals, for example, 74725 + ... + 453901.

It is an arithmetic number, because the mean of its divisors is an integer number (7287801160).

Almost surely, 2^100221410401 is an apocalyptic number.

It is an amenable number.

100221410401 is a deficient number, since it is larger than the sum of its proper divisors (16383408159).

100221410401 is an equidigital number, since it uses as much as digits as its factorization.

100221410401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379864.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100221410401 its reverse (104014122001), we get a palindrome (204235532402).

The spelling of 100221410401 in words is "one hundred billion, two hundred twenty-one million, four hundred ten thousand, four hundred one".