121002333122133 has 12 divisors (see below), whose sum is σ = 179044102669068. Its totient is φ = 78700704469440.

The previous prime is 121002333122093. The next prime is 121002333122149. The reversal of 121002333122133 is 331221333200121.

121002333122133 is a `hidden beast` number, since 1 + 2 + 100 + 2 + 3 + 331 + 221 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39331674621009 + 81670658501124 = 6271497^2 + 9037182^2 .

It is not a de Polignac number, because 121002333122133 - 2¹⁶ = 121002333056597 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121002333122097 and 121002333122106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121002333122233) 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, 163959800610 + ... + 163959801347.

It is an arithmetic number, because the mean of its divisors is an integer number (14920341889089).

Almost surely, 2^{121002333122133} is an apocalyptic number.

It is an amenable number.

121002333122133 is a deficient number, since it is larger than the sum of its proper divisors (58041769546935).

121002333122133 is a wasteful number, since it uses less digits than its factorization.

121002333122133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327919602004 (or 327919602001 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 121002333122133 its reverse (331221333200121), we get a palindrome (452223666322254).

The spelling of 121002333122133 in words is "one hundred twenty-one trillion, two billion, three hundred thirty-three million, one hundred twenty-two thousand, one hundred thirty-three".