10001009077 has 2 divisors, whose sum is σ = 10001009078. Its totient is φ = 10001009076.

The previous prime is 10001009071. The next prime is 10001009113. The reversal of 10001009077 is 77090010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9769543281 + 231465796 = 98841^2 + 15214^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001009077 - 2⁷ = 10001008949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001009071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000504538 + 5000504539.

It is an arithmetic number, because the mean of its divisors is an integer number (5000504539).

Almost surely, 2^10001009077 is an apocalyptic number.

It is an amenable number.

10001009077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001009077 is an equidigital number, since it uses as much as digits as its factorization.

10001009077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 441, while the sum is 25.

Adding to 10001009077 its reverse (77090010001), we get a palindrome (87091019078).

The spelling of 10001009077 in words is "ten billion, one million, nine thousand, seventy-seven".