1020123210321 has 32 divisors (see below), whose sum is σ = 1524289536000. Its totient is φ = 674241699600.

The previous prime is 1020123210307. The next prime is 1020123210331. The reversal of 1020123210321 is 1230123210201.

1020123210321 is a `hidden beast` number, since 1 + 0 + 20 + 1 + 2 + 321 + 0 + 321 = 666.

It is not a de Polignac number, because 1020123210321 - 2¹³ = 1020123202129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020123210294 and 1020123210303.

It is not an unprimeable number, because it can be changed into a prime (1020123210331) 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 31 ways as a sum of consecutive naturals, for example, 4690846 + ... + 4903496.

It is an arithmetic number, because the mean of its divisors is an integer number (47634048000).

Almost surely, 2^{1020123210321} is an apocalyptic number.

It is an amenable number.

1020123210321 is a deficient number, since it is larger than the sum of its proper divisors (504166325679).

1020123210321 is a wasteful number, since it uses less digits than its factorization.

1020123210321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214186 (or 214180 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1020123210321 its reverse (1230123210201), we get a palindrome (2250246420522).

The spelling of 1020123210321 in words is "one trillion, twenty billion, one hundred twenty-three million, two hundred ten thousand, three hundred twenty-one".