330031101020121 has 24 divisors (see below), whose sum is σ = 486769199290920. Its totient is φ = 215422760411136.

The previous prime is 330031101020107. The next prime is 330031101020149. The reversal of 330031101020121 is 121020101130033.

330031101020121 is a `hidden beast` number, since 3 + 300 + 311 + 0 + 10 + 20 + 1 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55932613973721 + 274098487046400 = 7478811^2 + 16555920^2 .

It is not a de Polignac number, because 330031101020121 - 2¹⁰ = 330031101019097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 330031101020094 and 330031101020103.

It is not an unprimeable number, because it can be changed into a prime (330031101020161) 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 23 ways as a sum of consecutive naturals, for example, 1833232776 + ... + 1833412793.

It is an arithmetic number, because the mean of its divisors is an integer number (20282049970455).

Almost surely, 2^{330031101020121} is an apocalyptic number.

It is an amenable number.

330031101020121 is a deficient number, since it is larger than the sum of its proper divisors (156738098270799).

330031101020121 is a wasteful number, since it uses less digits than its factorization.

330031101020121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3666645785 (or 3666645782 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 330031101020121 its reverse (121020101130033), we get a palindrome (451051202150154).

The spelling of 330031101020121 in words is "three hundred thirty trillion, thirty-one billion, one hundred one million, twenty thousand, one hundred twenty-one".