107077111107721 has 2 divisors, whose sum is σ = 107077111107722. Its totient is φ = 107077111107720.

The previous prime is 107077111107719. The next prime is 107077111107773. The reversal of 107077111107721 is 127701111770701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106344356275600 + 732754832121 = 10312340^2 + 856011^2 .

It is a cyclic number.

It is not a de Polignac number, because 107077111107721 - 2¹ = 107077111107719 is a prime.

It is a super-3 number, since 3×107077111107721³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 107077111107719, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (107077111107221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53538555553860 + 53538555553861.

It is an arithmetic number, because the mean of its divisors is an integer number (53538555553861).

Almost surely, 2^{107077111107721} is an apocalyptic number.

It is an amenable number.

107077111107721 is a deficient number, since it is larger than the sum of its proper divisors (1).

107077111107721 is an equidigital number, since it uses as much as digits as its factorization.

107077111107721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33614, while the sum is 43.

The spelling of 107077111107721 in words is "one hundred seven trillion, seventy-seven billion, one hundred eleven million, one hundred seven thousand, seven hundred twenty-one".