102012321001 has 2 divisors, whose sum is σ = 102012321002. Its totient is φ = 102012321000.

The previous prime is 102012320983. The next prime is 102012321007. The reversal of 102012321001 is 100123210201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100210233600 + 1802087401 = 316560^2 + 42451^2 .

It is a cyclic number.

It is not a de Polignac number, because 102012321001 - 2¹⁵ = 102012288233 is a prime.

It is a super-2 number, since 2×102012321001² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102012321007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51006160500 + 51006160501.

It is an arithmetic number, because the mean of its divisors is an integer number (51006160501).

Almost surely, 2^102012321001 is an apocalyptic number.

It is an amenable number.

102012321001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102012321001 is an equidigital number, since it uses as much as digits as its factorization.

102012321001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 102012321001 its reverse (100123210201), we get a palindrome (202135531202).

The spelling of 102012321001 in words is "one hundred two billion, twelve million, three hundred twenty-one thousand, one".