10010312100073 has 2 divisors, whose sum is σ = 10010312100074. Its totient is φ = 10010312100072.

The previous prime is 10010312100011. The next prime is 10010312100083. The reversal of 10010312100073 is 37000121301001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9116999796969 + 893312303104 = 3019437^2 + 945152^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010312100073 - 2³⁷ = 9872873146601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10010312100073.

It is not a weakly prime, because it can be changed into another prime (10010312100083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005156050036 + 5005156050037.

It is an arithmetic number, because the mean of its divisors is an integer number (5005156050037).

Almost surely, 2^{10010312100073} is an apocalyptic number.

It is an amenable number.

10010312100073 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010312100073 is an equidigital number, since it uses as much as digits as its factorization.

10010312100073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 19.

Adding to 10010312100073 its reverse (37000121301001), we get a palindrome (47010433401074).

The spelling of 10010312100073 in words is "ten trillion, ten billion, three hundred twelve million, one hundred thousand, seventy-three".