1000112111777 has 2 divisors, whose sum is σ = 1000112111778. Its totient is φ = 1000112111776.

The previous prime is 1000112111753. The next prime is 1000112111807. The reversal of 1000112111777 is 7771112110001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 800516720656 + 199595391121 = 894716^2 + 446761^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000112111777 is a prime.

It is a super-2 number, since 2×1000112111777² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1000112111177) 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, 500056055888 + 500056055889.

It is an arithmetic number, because the mean of its divisors is an integer number (500056055889).

Almost surely, 2^{1000112111777} is an apocalyptic number.

It is an amenable number.

1000112111777 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000112111777 is an equidigital number, since it uses as much as digits as its factorization.

1000112111777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 686, while the sum is 29.

Adding to 1000112111777 its reverse (7771112110001), we get a palindrome (8771224221778).

The spelling of 1000112111777 in words is "one trillion, one hundred twelve million, one hundred eleven thousand, seven hundred seventy-seven".