10010111001049 has 2 divisors, whose sum is σ = 10010111001050. Its totient is φ = 10010111001048.

The previous prime is 10010111001029. The next prime is 10010111001103. The reversal of 10010111001049 is 94010011101001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9397167630400 + 612943370649 = 3065480^2 + 782907^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010111001049 - 2⁷ = 10010111000921 is a prime.

It is not a weakly prime, because it can be changed into another prime (10010111001019) 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, 5005055500524 + 5005055500525.

It is an arithmetic number, because the mean of its divisors is an integer number (5005055500525).

Almost surely, 2^{10010111001049} is an apocalyptic number.

It is an amenable number.

10010111001049 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010111001049 is an equidigital number, since it uses as much as digits as its factorization.

10010111001049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 10010111001049 in words is "ten trillion, ten billion, one hundred eleven million, one thousand, forty-nine".