221000222100001 has 8 divisors (see below), whose sum is σ = 221193340647464. Its totient is φ = 220807106058240.

The previous prime is 221000222099983. The next prime is 221000222100059. The reversal of 221000222100001 is 100001222000122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 127530945561600 + 93469276538401 = 11292960^2 + 9667951^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 221000222100001 - 2⁷ = 221000222099873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221000222110001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205413475 + ... + 206486551.

It is an arithmetic number, because the mean of its divisors is an integer number (27649167580933).

Almost surely, 2^{221000222100001} is an apocalyptic number.

It is an amenable number.

221000222100001 is a deficient number, since it is larger than the sum of its proper divisors (193118547463).

221000222100001 is a wasteful number, since it uses less digits than its factorization.

221000222100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252851.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 221000222100001 its reverse (100001222000122), we get a palindrome (321001444100123).

The spelling of 221000222100001 in words is "two hundred twenty-one trillion, two hundred twenty-two million, one hundred thousand, one".