221000212001 has 8 divisors (see below), whose sum is σ = 221158100520. Its totient is φ = 220842381312.

The previous prime is 221000211967. The next prime is 221000212039. The reversal of 221000212001 is 100212000122.

It is a happy number.

221000212001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11236212001 + 209764000000 = 106001^2 + 458000^2 .

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 221000212001 - 2³⁰ = 219926470177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221000212501) 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 7 ways as a sum of consecutive naturals, for example, 9911201 + ... + 9933473.

It is an arithmetic number, because the mean of its divisors is an integer number (27644762565).

Almost surely, 2^221000212001 is an apocalyptic number.

It is an amenable number.

221000212001 is a deficient number, since it is larger than the sum of its proper divisors (157888519).

221000212001 is a wasteful number, since it uses less digits than its factorization.

221000212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28915.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 221000212001 its reverse (100212000122), we get a palindrome (321212212123).

The spelling of 221000212001 in words is "two hundred twenty-one billion, two hundred twelve thousand, one".