1010011001029 has 2 divisors, whose sum is σ = 1010011001030. Its totient is φ = 1010011001028.

The previous prime is 1010011000939. The next prime is 1010011001039. The reversal of 1010011001029 is 9201001100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 697054670404 + 312956330625 = 834898^2 + 559425^2 .

It is an emirp because it is prime and its reverse (9201001100101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1010011001029 - 2²⁷ = 1009876783301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010011001039) 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, 505005500514 + 505005500515.

It is an arithmetic number, because the mean of its divisors is an integer number (505005500515).

Almost surely, 2^{1010011001029} is an apocalyptic number.

It is an amenable number.

1010011001029 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010011001029 is an equidigital number, since it uses as much as digits as its factorization.

1010011001029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 16.

The spelling of 1010011001029 in words is "one trillion, ten billion, eleven million, one thousand, twenty-nine".