100221321112001 has 4 divisors (see below), whose sum is σ = 100221401121792. Its totient is φ = 100221241102212.

The previous prime is 100221321111983. The next prime is 100221321112021. The reversal of 100221321112001 is 100211123122001.

It is a happy number.

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 100221321112001 - 2³⁴ = 100204141242817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100221321112021) 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 3 ways as a sum of consecutive naturals, for example, 38095601 + ... + 40641326.

It is an arithmetic number, because the mean of its divisors is an integer number (25055350280448).

Almost surely, 2^{100221321112001} is an apocalyptic number.

It is an amenable number.

100221321112001 is a deficient number, since it is larger than the sum of its proper divisors (80009791).

100221321112001 is an equidigital number, since it uses as much as digits as its factorization.

100221321112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80009790.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 100221321112001 its reverse (100211123122001), we get a palindrome (200432444234002).

The spelling of 100221321112001 in words is "one hundred trillion, two hundred twenty-one billion, three hundred twenty-one million, one hundred twelve thousand, one".