1012100102089 has 2 divisors, whose sum is σ = 1012100102090. Its totient is φ = 1012100102088.

The previous prime is 1012100101963. The next prime is 1012100102099. The reversal of 1012100102089 is 9802010012101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 936845896464 + 75254205625 = 967908^2 + 274325^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012100102089 - 2¹⁷ = 1012099971017 is a prime.

It is not a weakly prime, because it can be changed into another prime (1012100102099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506050051044 + 506050051045.

It is an arithmetic number, because the mean of its divisors is an integer number (506050051045).

Almost surely, 2^{1012100102089} is an apocalyptic number.

It is an amenable number.

1012100102089 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012100102089 is an equidigital number, since it uses as much as digits as its factorization.

1012100102089 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 25.

The spelling of 1012100102089 in words is "one trillion, twelve billion, one hundred million, one hundred two thousand, eighty-nine".