10021321321967 has 2 divisors, whose sum is σ = 10021321321968. Its totient is φ = 10021321321966.

The previous prime is 10021321321919. The next prime is 10021321322107. The reversal of 10021321321967 is 76912312312001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10021321321967 - 2⁶ = 10021321321903 is a prime.

It is a super-2 number, since 2×10021321321967² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10021321321967.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10021321321267) 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 as a sum of consecutive naturals, namely, 5010660660983 + 5010660660984.

It is an arithmetic number, because the mean of its divisors is an integer number (5010660660984).

Almost surely, 2^{10021321321967} is an apocalyptic number.

10021321321967 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021321321967 is an equidigital number, since it uses as much as digits as its factorization.

10021321321967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 38.

Adding to 10021321321967 its reverse (76912312312001), we get a palindrome (86933633633968).

The spelling of 10021321321967 in words is "ten trillion, twenty-one billion, three hundred twenty-one million, three hundred twenty-one thousand, nine hundred sixty-seven".