10000100009077 has 2 divisors, whose sum is σ = 10000100009078. Its totient is φ = 10000100009076.

The previous prime is 10000100009057. The next prime is 10000100009083. The reversal of 10000100009077 is 77090000100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7295568462961 + 2704531546116 = 2701031^2 + 1644546^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000100009077 - 2³⁵ = 9965740270709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000100009027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000050004538 + 5000050004539.

It is an arithmetic number, because the mean of its divisors is an integer number (5000050004539).

Almost surely, 2^{10000100009077} is an apocalyptic number.

It is an amenable number.

10000100009077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000100009077 is an equidigital number, since it uses as much as digits as its factorization.

10000100009077 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 10000100009077 its reverse (77090000100001), we get a palindrome (87090100109078).

The spelling of 10000100009077 in words is "ten trillion, one hundred million, nine thousand, seventy-seven".