221001022001 has 8 divisors (see below), whose sum is σ = 230632306560. Its totient is φ = 211371616192.

The previous prime is 221001021893. The next prime is 221001022007. The reversal of 221001022001 is 100220100122.

It is a happy number.

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 221001022001 - 2¹⁸ = 221000759857 is a prime.

It is a super-3 number, since 3×221001022001³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221001022007) 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 7 ways as a sum of consecutive naturals, for example, 226616 + ... + 702393.

It is an arithmetic number, because the mean of its divisors is an integer number (28829038320).

Almost surely, 2^221001022001 is an apocalyptic number.

It is an amenable number.

221001022001 is a deficient number, since it is larger than the sum of its proper divisors (9631284559).

221001022001 is a wasteful number, since it uses less digits than its factorization.

221001022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939375.

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

Adding to 221001022001 its reverse (100220100122), we get a palindrome (321221122123).

The spelling of 221001022001 in words is "two hundred twenty-one billion, one million, twenty-two thousand, one".