10120105817777 has 2 divisors, whose sum is σ = 10120105817778. Its totient is φ = 10120105817776.

The previous prime is 10120105817771. The next prime is 10120105817797. The reversal of 10120105817777 is 77771850102101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8088785358241 + 2031320459536 = 2844079^2 + 1425244^2 .

It is an emirp because it is prime and its reverse (77771850102101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10120105817777 - 2⁴² = 5722059306673 is a prime.

It is not a weakly prime, because it can be changed into another prime (10120105817771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060052908888 + 5060052908889.

It is an arithmetic number, because the mean of its divisors is an integer number (5060052908889).

Almost surely, 2^{10120105817777} is an apocalyptic number.

It is an amenable number.

10120105817777 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120105817777 is an equidigital number, since it uses as much as digits as its factorization.

10120105817777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192080, while the sum is 47.

Adding to 10120105817777 its reverse (77771850102101), we get a palindrome (87891955919878).

The spelling of 10120105817777 in words is "ten trillion, one hundred twenty billion, one hundred five million, eight hundred seventeen thousand, seven hundred seventy-seven".