102001113323009 has 2 divisors, whose sum is σ = 102001113323010. Its totient is φ = 102001113323008.

The previous prime is 102001113323003. The next prime is 102001113323051. The reversal of 102001113323009 is 900323311100201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97842662487025 + 4158450835984 = 9891545^2 + 2039228^2 .

It is a cyclic number.

It is not a de Polignac number, because 102001113323009 - 2⁴⁴ = 84408927278593 is a prime.

It is not a weakly prime, because it can be changed into another prime (102001113323003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000556661504 + 51000556661505.

It is an arithmetic number, because the mean of its divisors is an integer number (51000556661505).

Almost surely, 2^{102001113323009} is an apocalyptic number.

It is an amenable number.

102001113323009 is a deficient number, since it is larger than the sum of its proper divisors (1).

102001113323009 is an equidigital number, since it uses as much as digits as its factorization.

102001113323009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 102001113323009 in words is "one hundred two trillion, one billion, one hundred thirteen million, three hundred twenty-three thousand, nine".