1000991001029 has 2 divisors, whose sum is σ = 1000991001030. Its totient is φ = 1000991001028.

The previous prime is 1000991000983. The next prime is 1000991001037. The reversal of 1000991001029 is 9201001990001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 952823920129 + 48167080900 = 976127^2 + 219470^2 .

It is an emirp because it is prime and its reverse (9201001990001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000991001029 - 2²⁴ = 1000974223813 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000991000986 and 1000991001004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000991004029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500495500514 + 500495500515.

It is an arithmetic number, because the mean of its divisors is an integer number (500495500515).

Almost surely, 2^{1000991001029} is an apocalyptic number.

It is an amenable number.

1000991001029 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000991001029 is an equidigital number, since it uses as much as digits as its factorization.

1000991001029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 32.

The spelling of 1000991001029 in words is "one trillion, nine hundred ninety-one million, one thousand, twenty-nine".