1012112111077 has 2 divisors, whose sum is σ = 1012112111078. Its totient is φ = 1012112111076.

The previous prime is 1012112111053. The next prime is 1012112111089. The reversal of 1012112111077 is 7701112112101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 770943705156 + 241168405921 = 878034^2 + 491089^2 .

It is an emirp because it is prime and its reverse (7701112112101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1012112111077 - 2¹⁵ = 1012112078309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1012112111377) 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, 506056055538 + 506056055539.

It is an arithmetic number, because the mean of its divisors is an integer number (506056055539).

Almost surely, 2^{1012112111077} is an apocalyptic number.

It is an amenable number.

1012112111077 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012112111077 is an equidigital number, since it uses as much as digits as its factorization.

1012112111077 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 25.

Adding to 1012112111077 its reverse (7701112112101), we get a palindrome (8713224223178).

The spelling of 1012112111077 in words is "one trillion, twelve billion, one hundred twelve million, one hundred eleven thousand, seventy-seven".