101001110001009 has 64 divisors (see below), whose sum is σ = 140164315104000. Its totient is φ = 64639555200000.

The previous prime is 101001110000993. The next prime is 101001110001149. The reversal of 101001110001009 is 900100011100101.

It is not a de Polignac number, because 101001110001009 - 2⁴ = 101001110000993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101001110041009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10201096959 + ... + 10201106859.

It is an arithmetic number, because the mean of its divisors is an integer number (2190067423500).

Almost surely, 2^{101001110001009} is an apocalyptic number.

It is an amenable number.

101001110001009 is a deficient number, since it is larger than the sum of its proper divisors (39163205102991).

101001110001009 is a wasteful number, since it uses less digits than its factorization.

101001110001009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13122.

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

The spelling of 101001110001009 in words is "one hundred one trillion, one billion, one hundred ten million, one thousand, nine".