2010820181089 has 2 divisors, whose sum is σ = 2010820181090. Its totient is φ = 2010820181088.

The previous prime is 2010820181059. The next prime is 2010820181113. The reversal of 2010820181089 is 9801810280102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1961050140625 + 49770040464 = 1400375^2 + 223092^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010820181089 - 2²⁵ = 2010786626657 is a prime.

It is not a weakly prime, because it can be changed into another prime (2010820181059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005410090544 + 1005410090545.

It is an arithmetic number, because the mean of its divisors is an integer number (1005410090545).

Almost surely, 2^{2010820181089} is an apocalyptic number.

It is an amenable number.

2010820181089 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010820181089 is an equidigital number, since it uses as much as digits as its factorization.

2010820181089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 40.

The spelling of 2010820181089 in words is "two trillion, ten billion, eight hundred twenty million, one hundred eighty-one thousand, eighty-nine".