20101321102321 has 2 divisors, whose sum is σ = 20101321102322. Its totient is φ = 20101321102320.

The previous prime is 20101321102297. The next prime is 20101321102351. The reversal of 20101321102321 is 12320112310102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10528980135921 + 9572340966400 = 3244839^2 + 3093920^2 .

It is a cyclic number.

It is not a de Polignac number, because 20101321102321 - 2⁷ = 20101321102193 is a prime.

It is a super-3 number, since 3×20101321102321³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (20101321102351) 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, 10050660551160 + 10050660551161.

It is an arithmetic number, because the mean of its divisors is an integer number (10050660551161).

Almost surely, 2^{20101321102321} is an apocalyptic number.

It is an amenable number.

20101321102321 is a deficient number, since it is larger than the sum of its proper divisors (1).

20101321102321 is an equidigital number, since it uses as much as digits as its factorization.

20101321102321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 20101321102321 its reverse (12320112310102), we get a palindrome (32421433412423).

The spelling of 20101321102321 in words is "twenty trillion, one hundred one billion, three hundred twenty-one million, one hundred two thousand, three hundred twenty-one".