3201002122101 has 64 divisors (see below), whose sum is σ = 5113992609792. Its totient is φ = 1742469120000.

The previous prime is 3201002122091. The next prime is 3201002122103. The reversal of 3201002122101 is 1012212001023.

3201002122101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3201002122101 - 2¹⁰ = 3201002121077 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201002122103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29573641 + ... + 29681681.

It is an arithmetic number, because the mean of its divisors is an integer number (79906134528).

Almost surely, 2^{3201002122101} is an apocalyptic number.

3201002122101 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3201002122101 is a deficient number, since it is larger than the sum of its proper divisors (1912990487691).

3201002122101 is a wasteful number, since it uses less digits than its factorization.

3201002122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108794.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 3201002122101 its reverse (1012212001023), we get a palindrome (4213214123124).

The spelling of 3201002122101 in words is "three trillion, two hundred one billion, two million, one hundred twenty-two thousand, one hundred one".