101112120011789 has 2 divisors, whose sum is σ = 101112120011790. Its totient is φ = 101112120011788.

The previous prime is 101112120011779. The next prime is 101112120011809. The reversal of 101112120011789 is 987110021211101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74611070572900 + 26501049438889 = 8637770^2 + 5147917^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112120011789 - 2³² = 101107825044493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101112120011779) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556060005894 + 50556060005895.

It is an arithmetic number, because the mean of its divisors is an integer number (50556060005895).

Almost surely, 2^{101112120011789} is an apocalyptic number.

It is an amenable number.

101112120011789 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112120011789 is an equidigital number, since it uses as much as digits as its factorization.

101112120011789 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2016, while the sum is 35.

The spelling of 101112120011789 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty million, eleven thousand, seven hundred eighty-nine".