2011100110249 has 2 divisors, whose sum is σ = 2011100110250. Its totient is φ = 2011100110248.

The previous prime is 2011100110189. The next prime is 2011100110291. The reversal of 2011100110249 is 9420110011102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1621764045225 + 389336065024 = 1273485^2 + 623968^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011100110249 - 2⁹ = 2011100109737 is a prime.

It is not a weakly prime, because it can be changed into another prime (2011100111249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005550055124 + 1005550055125.

It is an arithmetic number, because the mean of its divisors is an integer number (1005550055125).

Almost surely, 2^{2011100110249} is an apocalyptic number.

It is an amenable number.

2011100110249 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011100110249 is an equidigital number, since it uses as much as digits as its factorization.

2011100110249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 2011100110249 in words is "two trillion, eleven billion, one hundred million, one hundred ten thousand, two hundred forty-nine".