2002033103121 has 24 divisors (see below), whose sum is σ = 3020333521920. Its totient is φ = 1275484167936.

The previous prime is 2002033103117. The next prime is 2002033103131. The reversal of 2002033103121 is 1213013302002.

2002033103121 is a `hidden beast` number, since 2 + 0 + 0 + 20 + 331 + 0 + 312 + 1 = 666.

It is not a de Polignac number, because 2002033103121 - 2² = 2002033103117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002033103094 and 2002033103103.

It is not an unprimeable number, because it can be changed into a prime (2002033103101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4223776 + ... + 4673793.

It is an arithmetic number, because the mean of its divisors is an integer number (125847230080).

Almost surely, 2^{2002033103121} is an apocalyptic number.

It is an amenable number.

2002033103121 is a deficient number, since it is larger than the sum of its proper divisors (1018300418799).

2002033103121 is a wasteful number, since it uses less digits than its factorization.

2002033103121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8898685 (or 8898682 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2002033103121 its reverse (1213013302002), we get a palindrome (3215046405123).

The spelling of 2002033103121 in words is "two trillion, two billion, thirty-three million, one hundred three thousand, one hundred twenty-one".