100302310081 has 2 divisors, whose sum is σ = 100302310082. Its totient is φ = 100302310080.

The previous prime is 100302310019. The next prime is 100302310099. The reversal of 100302310081 is 180013203001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99656387856 + 645922225 = 315684^2 + 25415^2 .

It is an emirp because it is prime and its reverse (180013203001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100302310081 - 2⁷ = 100302309953 is a prime.

It is a super-2 number, since 2×100302310081² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100302313081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50151155040 + 50151155041.

It is an arithmetic number, because the mean of its divisors is an integer number (50151155041).

Almost surely, 2^100302310081 is an apocalyptic number.

It is an amenable number.

100302310081 is a deficient number, since it is larger than the sum of its proper divisors (1).

100302310081 is an equidigital number, since it uses as much as digits as its factorization.

100302310081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 100302310081 its reverse (180013203001), we get a palindrome (280315513082).

The spelling of 100302310081 in words is "one hundred billion, three hundred two million, three hundred ten thousand, eighty-one".