221020301123001 has 12 divisors (see below), whose sum is σ = 327879966231012. Its totient is φ = 143364519647136.

The previous prime is 221020301122993. The next prime is 221020301123117. The reversal of 221020301123001 is 100321103020122.

221020301123001 is a `hidden beast` number, since 22 + 10 + 20 + 301 + 12 + 300 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 212952292623225 + 8068008499776 = 14592885^2 + 2840424^2 .

It is not a de Polignac number, because 221020301123001 - 2³ = 221020301122993 is a prime.

It is a super-3 number, since 3×221020301123001³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (221020301193001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 331862313666 + ... + 331862314331.

It is an arithmetic number, because the mean of its divisors is an integer number (27323330519251).

Almost surely, 2^{221020301123001} is an apocalyptic number.

It is an amenable number.

221020301123001 is a deficient number, since it is larger than the sum of its proper divisors (106859665108011).

221020301123001 is a wasteful number, since it uses less digits than its factorization.

221020301123001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663724628040 (or 663724628037 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 221020301123001 its reverse (100321103020122), we get a palindrome (321341404143123).

The spelling of 221020301123001 in words is "two hundred twenty-one trillion, twenty billion, three hundred one million, one hundred twenty-three thousand, one".