10133120201121 has 24 divisors (see below), whose sum is σ = 15531974976960. Its totient is φ = 6352179494496.

The previous prime is 10133120201081. The next prime is 10133120201153. The reversal of 10133120201121 is 12110202133101.

10133120201121 is a `hidden beast` number, since 10 + 1 + 331 + 2 + 0 + 201 + 121 = 666.

It is not a de Polignac number, because 10133120201121 - 2¹⁰ = 10133120200097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10133120201094 and 10133120201103.

It is not an unprimeable number, because it can be changed into a prime (10133120201821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414837546 + ... + 414861971.

It is an arithmetic number, because the mean of its divisors is an integer number (647165624040).

Almost surely, 2^{10133120201121} is an apocalyptic number.

It is an amenable number.

10133120201121 is a deficient number, since it is larger than the sum of its proper divisors (5398854775839).

10133120201121 is a wasteful number, since it uses less digits than its factorization.

10133120201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829699605 (or 829699602 counting only the distinct ones).

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

Adding to 10133120201121 its reverse (12110202133101), we get a palindrome (22243322334222).

The spelling of 10133120201121 in words is "ten trillion, one hundred thirty-three billion, one hundred twenty million, two hundred one thousand, one hundred twenty-one".