10012105777 has 2 divisors, whose sum is σ = 10012105778. Its totient is φ = 10012105776.

The previous prime is 10012105771. The next prime is 10012105787. The reversal of 10012105777 is 77750121001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6633125136 + 3378980641 = 81444^2 + 58129^2 .

It is a cyclic number.

It is not a de Polignac number, because 10012105777 - 2²³ = 10003717169 is a prime.

It is not a weakly prime, because it can be changed into another prime (10012105771) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006052888 + 5006052889.

It is an arithmetic number, because the mean of its divisors is an integer number (5006052889).

Almost surely, 2^10012105777 is an apocalyptic number.

It is an amenable number.

10012105777 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012105777 is an equidigital number, since it uses as much as digits as its factorization.

10012105777 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3430, while the sum is 31.

Adding to 10012105777 its reverse (77750121001), we get a palindrome (87762226778).

The spelling of 10012105777 in words is "ten billion, twelve million, one hundred five thousand, seven hundred seventy-seven".