100008073726553 has 2 divisors, whose sum is σ = 100008073726554. Its totient is φ = 100008073726552.

The previous prime is 100008073726549. The next prime is 100008073726559. The reversal of 100008073726553 is 355627370800001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96229664747584 + 3778408978969 = 9809672^2 + 1943813^2 .

It is an emirp because it is prime and its reverse (355627370800001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100008073726553 - 2² = 100008073726549 is a prime.

It is a super-2 number, since 2×100008073726553² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100008073726498 and 100008073726507.

It is not a weakly prime, because it can be changed into another prime (100008073726559) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50004036863276 + 50004036863277.

It is an arithmetic number, because the mean of its divisors is an integer number (50004036863277).

Almost surely, 2^{100008073726553} is an apocalyptic number.

It is an amenable number.

100008073726553 is a deficient number, since it is larger than the sum of its proper divisors (1).

100008073726553 is an equidigital number, since it uses as much as digits as its factorization.

100008073726553 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1058400, while the sum is 47.

The spelling of 100008073726553 in words is "one hundred trillion, eight billion, seventy-three million, seven hundred twenty-six thousand, five hundred fifty-three".