10111001001009 has 32 divisors (see below), whose sum is σ = 13827470616960. Its totient is φ = 6568357920768.

The previous prime is 10111001000981. The next prime is 10111001001061. The reversal of 10111001001009 is 90010010011101.

10111001001009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10111001001009 - 2²⁰ = 10110999952433 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10111001001509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100049497 + ... + 100150505.

It is an arithmetic number, because the mean of its divisors is an integer number (432108456780).

Almost surely, 2^{10111001001009} is an apocalyptic number.

It is an amenable number.

10111001001009 is a deficient number, since it is larger than the sum of its proper divisors (3716469615951).

10111001001009 is a wasteful number, since it uses less digits than its factorization.

10111001001009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102881.

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

The spelling of 10111001001009 in words is "ten trillion, one hundred eleven billion, one million, one thousand, nine".