10001001000073 has 2 divisors, whose sum is σ = 10001001000074. Its totient is φ = 10001001000072.

The previous prime is 10001001000043. The next prime is 10001001000119. The reversal of 10001001000073 is 37000010010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9986029764624 + 14971235449 = 3160068^2 + 122357^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001001000073 - 2²⁵ = 10000967445641 is a prime.

It is a super-2 number, since 2×10001001000073² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10001001000043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000500500036 + 5000500500037.

It is an arithmetic number, because the mean of its divisors is an integer number (5000500500037).

Almost surely, 2^{10001001000073} is an apocalyptic number.

It is an amenable number.

10001001000073 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001001000073 is an equidigital number, since it uses as much as digits as its factorization.

10001001000073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21, while the sum is 13.

Adding to 10001001000073 its reverse (37000010010001), we get a palindrome (47001011010074).

The spelling of 10001001000073 in words is "ten trillion, one billion, one million, seventy-three", and thus it is an aban number and an uban number.