1000010109073 has 2 divisors, whose sum is σ = 1000010109074. Its totient is φ = 1000010109072.

The previous prime is 1000010109023. The next prime is 1000010109101. The reversal of 1000010109073 is 3709010100001.

1000010109073 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 999656029584 + 354079489 = 999828^2 + 18817^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000010109073 - 2²⁹ = 999473238161 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000010109023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500005054536 + 500005054537.

It is an arithmetic number, because the mean of its divisors is an integer number (500005054537).

Almost surely, 2^{1000010109073} is an apocalyptic number.

It is an amenable number.

1000010109073 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000010109073 is an equidigital number, since it uses as much as digits as its factorization.

1000010109073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 189, while the sum is 22.

Adding to 1000010109073 its reverse (3709010100001), we get a palindrome (4709020209074).

The spelling of 1000010109073 in words is "one trillion, ten million, one hundred nine thousand, seventy-three".