1001221011029 has 2 divisors, whose sum is σ = 1001221011030. Its totient is φ = 1001221011028.

The previous prime is 1001221010983. The next prime is 1001221011151. The reversal of 1001221011029 is 9201101221001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 672232730404 + 328988280625 = 819898^2 + 573575^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001221011029 - 2¹⁶ = 1001220945493 is a prime.

It is a super-3 number, since 3×1001221011029³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1001221011029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001221011929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500610505514 + 500610505515.

It is an arithmetic number, because the mean of its divisors is an integer number (500610505515).

Almost surely, 2^{1001221011029} is an apocalyptic number.

It is an amenable number.

1001221011029 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001221011029 is an equidigital number, since it uses as much as digits as its factorization.

1001221011029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 1001221011029 in words is "one trillion, one billion, two hundred twenty-one million, eleven thousand, twenty-nine".