101001011010009 has 128 divisors (see below), whose sum is σ = 160294696353792. Its totient is φ = 55951916106240.

The previous prime is 101001011009999. The next prime is 101001011010047. The reversal of 101001011010009 is 900010110100101.

It is not a de Polignac number, because 101001011010009 - 2⁹ = 101001011009497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101001011010009.

It is not an unprimeable number, because it can be changed into a prime (101001011014009) 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 127 ways as a sum of consecutive naturals, for example, 278832717 + ... + 279194709.

It is an arithmetic number, because the mean of its divisors is an integer number (1252302315264).

Almost surely, 2^{101001011010009} is an apocalyptic number.

It is an amenable number.

101001011010009 is a deficient number, since it is larger than the sum of its proper divisors (59293685343783).

101001011010009 is a wasteful number, since it uses less digits than its factorization.

101001011010009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362259.

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

The spelling of 101001011010009 in words is "one hundred one trillion, one billion, eleven million, ten thousand, nine".