32000221102001 has 16 divisors (see below), whose sum is σ = 33161064257040. Its totient is φ = 30843237438720.

The previous prime is 32000221101983. The next prime is 32000221102013. The reversal of 32000221102001 is 10020112200023.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 415540101376 + 31584681000625 = 644624^2 + 5620025^2 .

It is not a de Polignac number, because 32000221102001 - 2¹⁰ = 32000221100977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32000221102061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53200391 + ... + 53798531.

It is an arithmetic number, because the mean of its divisors is an integer number (2072566516065).

Almost surely, 2^{32000221102001} is an apocalyptic number.

It is an amenable number.

32000221102001 is a deficient number, since it is larger than the sum of its proper divisors (1160843155039).

32000221102001 is a wasteful number, since it uses less digits than its factorization.

32000221102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601364.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 32000221102001 its reverse (10020112200023), we get a palindrome (42020333302024).

The spelling of 32000221102001 in words is "thirty-two trillion, two hundred twenty-one million, one hundred two thousand, one".