10112111121089 has 2 divisors, whose sum is σ = 10112111121090. Its totient is φ = 10112111121088.

The previous prime is 10112111121061. The next prime is 10112111121107. The reversal of 10112111121089 is 98012111121101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8739680127025 + 1372430994064 = 2956295^2 + 1171508^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10112111121089 is a prime.

It is not a weakly prime, because it can be changed into another prime (10112111121589) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056055560544 + 5056055560545.

It is an arithmetic number, because the mean of its divisors is an integer number (5056055560545).

Almost surely, 2^{10112111121089} is an apocalyptic number.

It is an amenable number.

10112111121089 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112111121089 is an equidigital number, since it uses as much as digits as its factorization.

10112111121089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 29.

The spelling of 10112111121089 in words is "ten trillion, one hundred twelve billion, one hundred eleven million, one hundred twenty-one thousand, eighty-nine".