3201312121101 has 24 divisors (see below), whose sum is σ = 4656115877400. Its totient is φ = 2119445536896.

The previous prime is 3201312121097. The next prime is 3201312121123. The reversal of 3201312121101 is 1011212131023.

3201312121101 is a `hidden beast` number, since 320 + 1 + 31 + 212 + 1 + 101 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 429732900 + 3200882388201 = 20730^2 + 1789101^2 .

It is not a de Polignac number, because 3201312121101 - 2² = 3201312121097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201312126101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6295311 + ... + 6784803.

It is an arithmetic number, because the mean of its divisors is an integer number (194004828225).

Almost surely, 2^{3201312121101} is an apocalyptic number.

It is an amenable number.

3201312121101 is a deficient number, since it is larger than the sum of its proper divisors (1454803756299).

3201312121101 is a wasteful number, since it uses less digits than its factorization.

3201312121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494525 (or 494522 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 3201312121101 its reverse (1011212131023), we get a palindrome (4212524252124).

The spelling of 3201312121101 in words is "three trillion, two hundred one billion, three hundred twelve million, one hundred twenty-one thousand, one hundred one".