100221133130401 has 4 divisors (see below), whose sum is σ = 104578573701312. Its totient is φ = 95863692559492.

The previous prime is 100221133130387. The next prime is 100221133130411. The reversal of 100221133130401 is 104031331122001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100221133130401 - 2²⁹ = 100220596259489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100221133130411) 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 3 ways as a sum of consecutive naturals, for example, 2178720285421 + ... + 2178720285466.

It is an arithmetic number, because the mean of its divisors is an integer number (26144643425328).

Almost surely, 2^{100221133130401} is an apocalyptic number.

It is an amenable number.

100221133130401 is a deficient number, since it is larger than the sum of its proper divisors (4357440570911).

100221133130401 is an equidigital number, since it uses as much as digits as its factorization.

100221133130401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4357440570910.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 100221133130401 its reverse (104031331122001), we get a palindrome (204252464252402).

The spelling of 100221133130401 in words is "one hundred trillion, two hundred twenty-one billion, one hundred thirty-three million, one hundred thirty thousand, four hundred one".