101111101001009 has 16 divisors (see below), whose sum is σ = 110472915009600. Its totient is φ = 91777682972160.

The previous prime is 101111101000969. The next prime is 101111101001017. The reversal of 101111101001009 is 900100101111101.

It is a cyclic number.

It is not a de Polignac number, because 101111101001009 - 2²⁸ = 101110832565553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101111101001069) 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 in 15 ways as a sum of consecutive naturals, for example, 23293817 + ... + 27291465.

It is an arithmetic number, because the mean of its divisors is an integer number (6904557188100).

Almost surely, 2^{101111101001009} is an apocalyptic number.

It is an amenable number.

101111101001009 is a deficient number, since it is larger than the sum of its proper divisors (9361814008591).

101111101001009 is a wasteful number, since it uses less digits than its factorization.

101111101001009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4001200.

The product of its (nonzero) digits is 9, while the sum is 17.

The spelling of 101111101001009 in words is "one hundred one trillion, one hundred eleven billion, one hundred one million, one thousand, nine".