10002948077 has 2 divisors, whose sum is σ = 10002948078. Its totient is φ = 10002948076.

The previous prime is 10002948023. The next prime is 10002948079. The reversal of 10002948077 is 77084920001.

10002948077 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., 9803178121 + 199769956 = 99011^2 + 14134^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002948077 - 2⁶ = 10002948013 is a prime.

Together with 10002948079, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10002948077.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002948079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001474038 + 5001474039.

It is an arithmetic number, because the mean of its divisors is an integer number (5001474039).

Almost surely, 2^10002948077 is an apocalyptic number.

It is an amenable number.

10002948077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002948077 is an equidigital number, since it uses as much as digits as its factorization.

10002948077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28224, while the sum is 38.

The spelling of 10002948077 in words is "ten billion, two million, nine hundred forty-eight thousand, seventy-seven".