10000000001777 has 2 divisors, whose sum is σ = 10000000001778. Its totient is φ = 10000000001776.

The previous prime is 10000000001753. The next prime is 10000000001833. The reversal of 10000000001777 is 77710000000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9825974198881 + 174025802896 = 3134641^2 + 417164^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000000001777 - 2⁸ = 10000000001521 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000000001177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000000000888 + 5000000000889.

It is an arithmetic number, because the mean of its divisors is an integer number (5000000000889).

Almost surely, 2^{10000000001777} is an apocalyptic number.

It is an amenable number.

10000000001777 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000000001777 is an equidigital number, since it uses as much as digits as its factorization.

10000000001777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 343, while the sum is 23.

Adding to 10000000001777 its reverse (77710000000001), we get a palindrome (87710000001778).

It can be divided in two parts, 10000000001 and 777, that multiplied together give a palindrome (7770000000777).

The spelling of 10000000001777 in words is "ten trillion, one thousand, seven hundred seventy-seven".