32002030122101 has 16 divisors (see below), whose sum is σ = 34595316226800. Its totient is φ = 29427564860928.

The previous prime is 32002030122067. The next prime is 32002030122107. The reversal of 32002030122101 is 10122103020023.

It can be written as a sum of positive squares in 8 ways, for example, as 4525720135876 + 27476309986225 = 2127374^2 + 5241785^2 .

It is a de Polignac number, because none of the positive numbers 2^k-32002030122101 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 32002030122101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32002030122107) 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 15 ways as a sum of consecutive naturals, for example, 34756865 + ... + 35665721.

It is an arithmetic number, because the mean of its divisors is an integer number (2162207264175).

Almost surely, 2^{32002030122101} is an apocalyptic number.

It is an amenable number.

32002030122101 is a deficient number, since it is larger than the sum of its proper divisors (2593286104699).

32002030122101 is a wasteful number, since it uses less digits than its factorization.

32002030122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919208.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 32002030122101 its reverse (10122103020023), we get a palindrome (42124133142124).

The spelling of 32002030122101 in words is "thirty-two trillion, two billion, thirty million, one hundred twenty-two thousand, one hundred one".