2768120101 has 2 divisors, whose sum is σ = 2768120102. Its totient is φ = 2768120100.

The previous prime is 2768120083. The next prime is 2768120129. The reversal of 2768120101 is 1010218672.

2768120101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (2768120129) can be obtained adding 2768120101 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2750897601 + 17222500 = 52449^2 + 4150^2 .

It is a cyclic number.

It is not a de Polignac number, because 2768120101 - 2⁹ = 2768119589 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2768120101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2768120161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1384060050 + 1384060051.

It is an arithmetic number, because the mean of its divisors is an integer number (1384060051).

Almost surely, 2^2768120101 is an apocalyptic number.

It is an amenable number.

2768120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2768120101 is an equidigital number, since it uses as much as digits as its factorization.

2768120101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 2768120101 is about 52612.9271282258. The cubic root of 2768120101 is about 1404.0900971462.

Adding to 2768120101 its reverse (1010218672), we get a palindrome (3778338773).

The spelling of 2768120101 in words is "two billion, seven hundred sixty-eight million, one hundred twenty thousand, one hundred one".