102001011113009 has 2 divisors, whose sum is σ = 102001011113010. Its totient is φ = 102001011113008.

The previous prime is 102001011113003. The next prime is 102001011113011. The reversal of 102001011113009 is 900311110100201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75337678153984 + 26663332959025 = 8679728^2 + 5163655^2 .

It is an emirp because it is prime and its reverse (900311110100201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102001011113009 - 2⁸ = 102001011112753 is a prime.

Together with 102001011113011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (102001011113003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000505556504 + 51000505556505.

It is an arithmetic number, because the mean of its divisors is an integer number (51000505556505).

Almost surely, 2^{102001011113009} is an apocalyptic number.

It is an amenable number.

102001011113009 is a deficient number, since it is larger than the sum of its proper divisors (1).

102001011113009 is an equidigital number, since it uses as much as digits as its factorization.

102001011113009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 20.

The spelling of 102001011113009 in words is "one hundred two trillion, one billion, eleven million, one hundred thirteen thousand, nine".