10721011701349 has 2 divisors, whose sum is σ = 10721011701350. Its totient is φ = 10721011701348.

The previous prime is 10721011701347. The next prime is 10721011701359. The reversal of 10721011701349 is 94310711012701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5976704772900 + 4744306928449 = 2444730^2 + 2178143^2 .

It is a cyclic number.

It is not a de Polignac number, because 10721011701349 - 2¹ = 10721011701347 is a prime.

It is a super-3 number, since 3×10721011701349³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 10721011701347, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10721011701347) 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 as a sum of consecutive naturals, namely, 5360505850674 + 5360505850675.

It is an arithmetic number, because the mean of its divisors is an integer number (5360505850675).

Almost surely, 2^{10721011701349} is an apocalyptic number.

It is an amenable number.

10721011701349 is a deficient number, since it is larger than the sum of its proper divisors (1).

10721011701349 is an equidigital number, since it uses as much as digits as its factorization.

10721011701349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 37.

The spelling of 10721011701349 in words is "ten trillion, seven hundred twenty-one billion, eleven million, seven hundred one thousand, three hundred forty-nine".