201330102011121 has 12 divisors (see below), whose sum is σ = 291521174609860. Its totient is φ = 133891901579520.

The previous prime is 201330102011069. The next prime is 201330102011131. The reversal of 201330102011121 is 121110201033102.

201330102011121 is a `hidden beast` number, since 2 + 0 + 1 + 330 + 10 + 201 + 1 + 121 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 181638154382400 + 19691947628721 = 13477320^2 + 4437561^2 .

It is not a de Polignac number, because 201330102011121 - 2¹¹ = 201330102009073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201330102011094 and 201330102011103.

It is not an unprimeable number, because it can be changed into a prime (201330102011131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27347198440 + ... + 27347205801.

Almost surely, 2^{201330102011121} is an apocalyptic number.

It is an amenable number.

201330102011121 is a deficient number, since it is larger than the sum of its proper divisors (90191072598739).

201330102011121 is a wasteful number, since it uses less digits than its factorization.

201330102011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54694404656 (or 54694404653 counting only the distinct ones).

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

Adding to 201330102011121 its reverse (121110201033102), we get a palindrome (322440303044223).

The spelling of 201330102011121 in words is "two hundred one trillion, three hundred thirty billion, one hundred two million, eleven thousand, one hundred twenty-one".