10002011200177 has 2 divisors, whose sum is σ = 10002011200178. Its totient is φ = 10002011200176.

The previous prime is 10002011200067. The next prime is 10002011200229. The reversal of 10002011200177 is 77100211020001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7050490636176 + 2951520564001 = 2655276^2 + 1717999^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002011200177 - 2¹⁵ = 10002011167409 is a prime.

It is not a weakly prime, because it can be changed into another prime (10002011200777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001005600088 + 5001005600089.

It is an arithmetic number, because the mean of its divisors is an integer number (5001005600089).

Almost surely, 2^{10002011200177} is an apocalyptic number.

It is an amenable number.

10002011200177 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002011200177 is an equidigital number, since it uses as much as digits as its factorization.

10002011200177 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 22.

Adding to 10002011200177 its reverse (77100211020001), we get a palindrome (87102222220178).

The spelling of 10002011200177 in words is "ten trillion, two billion, eleven million, two hundred thousand, one hundred seventy-seven".