1010111100949 has 2 divisors, whose sum is σ = 1010111100950. Its totient is φ = 1010111100948.

The previous prime is 1010111100913. The next prime is 1010111100967. The reversal of 1010111100949 is 9490011110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 871269162724 + 138841938225 = 933418^2 + 372615^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010111100949 - 2⁷ = 1010111100821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010111100049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505055550474 + 505055550475.

It is an arithmetic number, because the mean of its divisors is an integer number (505055550475).

Almost surely, 2^{1010111100949} is an apocalyptic number.

It is an amenable number.

1010111100949 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010111100949 is an equidigital number, since it uses as much as digits as its factorization.

1010111100949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 28.

The spelling of 1010111100949 in words is "one trillion, ten billion, one hundred eleven million, one hundred thousand, nine hundred forty-nine".