101111001009 has 24 divisors (see below), whose sum is σ = 138631012128. Its totient is φ = 65550384000.

The previous prime is 101111001001. The next prime is 101111001037. The reversal of 101111001009 is 900100111101.

It is not a de Polignac number, because 101111001009 - 2³ = 101111001001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101111001001) 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 23 ways as a sum of consecutive naturals, for example, 9239389 + ... + 9250325.

It is an arithmetic number, because the mean of its divisors is an integer number (5776292172).

Almost surely, 2^101111001009 is an apocalyptic number.

It is an amenable number.

101111001009 is a deficient number, since it is larger than the sum of its proper divisors (37520011119).

101111001009 is a wasteful number, since it uses less digits than its factorization.

101111001009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13265 (or 13228 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 15.

The spelling of 101111001009 in words is "one hundred one billion, one hundred eleven million, one thousand, nine".