1020002331121 has 8 divisors (see below), whose sum is σ = 1027418409000. Its totient is φ = 1012593859200.

The previous prime is 1020002331083. The next prime is 1020002331137. The reversal of 1020002331121 is 1211332000201.

It can be written as a sum of positive squares in 4 ways, for example, as 92172960000 + 927829371121 = 303600^2 + 963239^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1020002331121 - 2²⁵ = 1019968776689 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020002331095 and 1020002331104.

It is not an unprimeable number, because it can be changed into a prime (1020000331121) 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 7 ways as a sum of consecutive naturals, for example, 1632166 + ... + 2168863.

It is an arithmetic number, because the mean of its divisors is an integer number (128427301125).

Almost surely, 2^{1020002331121} is an apocalyptic number.

It is an amenable number.

1020002331121 is a deficient number, since it is larger than the sum of its proper divisors (7416077879).

1020002331121 is a wasteful number, since it uses less digits than its factorization.

1020002331121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3802979.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1020002331121 its reverse (1211332000201), we get a palindrome (2231334331322).

The spelling of 1020002331121 in words is "one trillion, twenty billion, two million, three hundred thirty-one thousand, one hundred twenty-one".