101011001010009 has 16 divisors (see below), whose sum is σ = 141922430817600. Its totient is φ = 63727749513216.

The previous prime is 101011001009909. The next prime is 101011001010013. The reversal of 101011001010009 is 900010100110101.

It is not a de Polignac number, because 101011001010009 - 2⁷ = 101011001009881 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101011001010009.

It is not an unprimeable number, because it can be changed into a prime (101011001010089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 953726824 + ... + 953832729.

It is an arithmetic number, because the mean of its divisors is an integer number (8870151926100).

Almost surely, 2^{101011001010009} is an apocalyptic number.

101011001010009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

101011001010009 is a deficient number, since it is larger than the sum of its proper divisors (40911429807591).

101011001010009 is a wasteful number, since it uses less digits than its factorization.

101011001010009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907560504.

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

The spelling of 101011001010009 in words is "one hundred one trillion, eleven billion, one million, ten thousand, nine".