10010100009073 has 2 divisors, whose sum is σ = 10010100009074. Its totient is φ = 10010100009072.

The previous prime is 10010100009071. The next prime is 10010100009127. The reversal of 10010100009073 is 37090000101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9963946791184 + 46153217889 = 3156572^2 + 214833^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010100009073 - 2¹ = 10010100009071 is a prime.

Together with 10010100009071, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10010100009071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005050004536 + 5005050004537.

It is an arithmetic number, because the mean of its divisors is an integer number (5005050004537).

Almost surely, 2^{10010100009073} is an apocalyptic number.

It is an amenable number.

10010100009073 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010100009073 is an equidigital number, since it uses as much as digits as its factorization.

10010100009073 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.

The spelling of 10010100009073 in words is "ten trillion, ten billion, one hundred million, nine thousand, seventy-three".