6721100137 has 2 divisors, whose sum is σ = 6721100138. Its totient is φ = 6721100136.

The previous prime is 6721100119. The next prime is 6721100153. The reversal of 6721100137 is 7310011276.

6721100137 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6685351696 + 35748441 = 81764^2 + 5979^2 .

It is a cyclic number.

It is not a de Polignac number, because 6721100137 - 2²⁷ = 6586882409 is a prime.

It is a super-3 number, since 3×6721100137³ (a number of 30 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (6721100107) 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, 3360550068 + 3360550069.

It is an arithmetic number, because the mean of its divisors is an integer number (3360550069).

Almost surely, 2^6721100137 is an apocalyptic number.

It is an amenable number.

6721100137 is a deficient number, since it is larger than the sum of its proper divisors (1).

6721100137 is an equidigital number, since it uses as much as digits as its factorization.

6721100137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 6721100137 is about 81982.3160016842. The cubic root of 6721100137 is about 1887.1805648747.

The spelling of 6721100137 in words is "six billion, seven hundred twenty-one million, one hundred thousand, one hundred thirty-seven".