10010001077 has 2 divisors, whose sum is σ = 10010001078. Its totient is φ = 10010001076.

The previous prime is 10010001073. The next prime is 10010001103. The reversal of 10010001077 is 77010001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6761115076 + 3248886001 = 82226^2 + 56999^2 .

It is an emirp because it is prime and its reverse (77010001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10010001077 - 2² = 10010001073 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010001073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005000538 + 5005000539.

It is an arithmetic number, because the mean of its divisors is an integer number (5005000539).

Almost surely, 2^10010001077 is an apocalyptic number.

It is an amenable number.

10010001077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010001077 is an equidigital number, since it uses as much as digits as its factorization.

10010001077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 49, while the sum is 17.

Adding to 10010001077 its reverse (77010001001), we get a palindrome (87020002078).

The spelling of 10010001077 in words is "ten billion, ten million, one thousand, seventy-seven".