10012020077 has 2 divisors, whose sum is σ = 10012020078. Its totient is φ = 10012020076.

The previous prime is 10012020061. The next prime is 10012020079. The reversal of 10012020077 is 77002021001.

10012020077 is digitally balanced in base 2, 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., 9584605801 + 427414276 = 97901^2 + 20674^2 .

It is a cyclic number.

It is not a de Polignac number, because 10012020077 - 2⁴ = 10012020061 is a prime.

Together with 10012020079, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10012020079) 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, 5006010038 + 5006010039.

It is an arithmetic number, because the mean of its divisors is an integer number (5006010039).

Almost surely, 2^10012020077 is an apocalyptic number.

It is an amenable number.

10012020077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012020077 is an equidigital number, since it uses as much as digits as its factorization.

10012020077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 196, while the sum is 20.

Adding to 10012020077 its reverse (77002021001), we get a palindrome (87014041078).

The spelling of 10012020077 in words is "ten billion, twelve million, twenty thousand, seventy-seven".