221001303032001 has 6 divisors (see below), whose sum is σ = 319224104379570. Its totient is φ = 147334202021328.

The previous prime is 221001303031979. The next prime is 221001303032047. The reversal of 221001303032001 is 100230303100122.

221001303032001 is a `hidden beast` number, since 2 + 210 + 0 + 130 + 3 + 0 + 320 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 191212892600625 + 29788410431376 = 13827975^2 + 5457876^2 .

It is not a de Polignac number, because 221001303032001 - 2⁵ = 221001303031969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221001303036001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12277850168436 + ... + 12277850168453.

It is an arithmetic number, because the mean of its divisors is an integer number (53204017396595).

Almost surely, 2^{221001303032001} is an apocalyptic number.

It is an amenable number.

221001303032001 is a deficient number, since it is larger than the sum of its proper divisors (98222801347569).

221001303032001 is a wasteful number, since it uses less digits than its factorization.

221001303032001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24555700336895 (or 24555700336892 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 221001303032001 its reverse (100230303100122), we get a palindrome (321231606132123).

The spelling of 221001303032001 in words is "two hundred twenty-one trillion, one billion, three hundred three million, thirty-two thousand, one".