1012125312089 has 2 divisors, whose sum is σ = 1012125312090. Its totient is φ = 1012125312088.

The previous prime is 1012125312059. The next prime is 1012125312167. The reversal of 1012125312089 is 9802135212101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 853628166400 + 158497145689 = 923920^2 + 398117^2 .

It is an emirp because it is prime and its reverse (9802135212101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1012125312089 is a prime.

It is not a weakly prime, because it can be changed into another prime (1012125312059) 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, 506062656044 + 506062656045.

It is an arithmetic number, because the mean of its divisors is an integer number (506062656045).

Almost surely, 2^{1012125312089} is an apocalyptic number.

It is an amenable number.

1012125312089 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012125312089 is an equidigital number, since it uses as much as digits as its factorization.

1012125312089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 35.

The spelling of 1012125312089 in words is "one trillion, twelve billion, one hundred twenty-five million, three hundred twelve thousand, eighty-nine".