100221000201001 has 4 divisors (see below), whose sum is σ = 102551721135952. Its totient is φ = 97890279266052.

The previous prime is 100221000200987. The next prime is 100221000201019. The reversal of 100221000201001 is 100102000122001.

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 100221000201001 - 2¹¹ = 100221000198953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100221000301001) 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, 1165360467411 + ... + 1165360467496.

It is an arithmetic number, because the mean of its divisors is an integer number (25637930283988).

Almost surely, 2^{100221000201001} is an apocalyptic number.

It is an amenable number.

100221000201001 is a deficient number, since it is larger than the sum of its proper divisors (2330720934951).

100221000201001 is an equidigital number, since it uses as much as digits as its factorization.

100221000201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330720934950.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100221000201001 its reverse (100102000122001), we get a palindrome (200323000323002).

The spelling of 100221000201001 in words is "one hundred trillion, two hundred twenty-one billion, two hundred one thousand, one".