1020010012321 has 2 divisors, whose sum is σ = 1020010012322. Its totient is φ = 1020010012320.

The previous prime is 1020010012283. The next prime is 1020010012349. The reversal of 1020010012321 is 1232100100201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 983595831696 + 36414180625 = 991764^2 + 190825^2 .

It is an emirp because it is prime and its reverse (1232100100201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1020010012321 - 2¹¹ = 1020010010273 is a prime.

It is not a weakly prime, because it can be changed into another prime (1020010012391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510005006160 + 510005006161.

It is an arithmetic number, because the mean of its divisors is an integer number (510005006161).

Almost surely, 2^{1020010012321} is an apocalyptic number.

It is an amenable number.

1020010012321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020010012321 is an equidigital number, since it uses as much as digits as its factorization.

1020010012321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1020010012321 its reverse (1232100100201), we get a palindrome (2252110112522).

The spelling of 1020010012321 in words is "one trillion, twenty billion, ten million, twelve thousand, three hundred twenty-one".