10008723099997 has 2 divisors, whose sum is σ = 10008723099998. Its totient is φ = 10008723099996.

The previous prime is 10008723099961. The next prime is 10008723100007. The reversal of 10008723099997 is 79999032780001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9463615537401 + 545107562596 = 3076299^2 + 738314^2 .

It is an emirp because it is prime and its reverse (79999032780001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10008723099997 - 2¹¹ = 10008723097949 is a prime.

It is a super-2 number, since 2×10008723099997² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10008723099937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5004361549998 + 5004361549999.

It is an arithmetic number, because the mean of its divisors is an integer number (5004361549999).

Almost surely, 2^{10008723099997} is an apocalyptic number.

It is an amenable number.

10008723099997 is a deficient number, since it is larger than the sum of its proper divisors (1).

10008723099997 is an equidigital number, since it uses as much as digits as its factorization.

10008723099997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15431472, while the sum is 64.

The spelling of 10008723099997 in words is "ten trillion, eight billion, seven hundred twenty-three million, ninety-nine thousand, nine hundred ninety-seven".