1010120102249 has 2 divisors, whose sum is σ = 1010120102250. Its totient is φ = 1010120102248.

The previous prime is 1010120102207. The next prime is 1010120102261. The reversal of 1010120102249 is 9422010210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 662205337600 + 347914764649 = 813760^2 + 589843^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010120102249 - 2¹² = 1010120098153 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010120102269) 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, 505060051124 + 505060051125.

It is an arithmetic number, because the mean of its divisors is an integer number (505060051125).

Almost surely, 2^{1010120102249} is an apocalyptic number.

It is an amenable number.

1010120102249 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010120102249 is an equidigital number, since it uses as much as digits as its factorization.

1010120102249 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 23.

The spelling of 1010120102249 in words is "one trillion, ten billion, one hundred twenty million, one hundred two thousand, two hundred forty-nine".