10111001001509 has 2 divisors, whose sum is σ = 10111001001510. Its totient is φ = 10111001001508.

The previous prime is 10111001001427. The next prime is 10111001001511. The reversal of 10111001001509 is 90510010011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7717822941409 + 2393178060100 = 2778097^2 + 1546990^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111001001509 - 2⁸ = 10111001001253 is a prime.

Together with 10111001001511, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10111001001589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055500500754 + 5055500500755.

It is an arithmetic number, because the mean of its divisors is an integer number (5055500500755).

Almost surely, 2^{10111001001509} is an apocalyptic number.

It is an amenable number.

10111001001509 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111001001509 is an equidigital number, since it uses as much as digits as its factorization.

10111001001509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45, while the sum is 20.

The spelling of 10111001001509 in words is "ten trillion, one hundred eleven billion, one million, one thousand, five hundred nine".