100012112010089 has 2 divisors, whose sum is σ = 100012112010090. Its totient is φ = 100012112010088.

The previous prime is 100012112010007. The next prime is 100012112010113. The reversal of 100012112010089 is 980010211210001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63823561771225 + 36188550238864 = 7988965^2 + 6015692^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100012112010089 is a prime.

It is not a weakly prime, because it can be changed into another prime (100012112010389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50006056005044 + 50006056005045.

It is an arithmetic number, because the mean of its divisors is an integer number (50006056005045).

Almost surely, 2^{100012112010089} is an apocalyptic number.

It is an amenable number.

100012112010089 is a deficient number, since it is larger than the sum of its proper divisors (1).

100012112010089 is an equidigital number, since it uses as much as digits as its factorization.

100012112010089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 26.

The spelling of 100012112010089 in words is "one hundred trillion, twelve billion, one hundred twelve million, ten thousand, eighty-nine".