101001100001009 has 8 divisors (see below), whose sum is σ = 109221744913512. Its totient is φ = 92844930735360.

The previous prime is 101001100000991. The next prime is 101001100001143. The reversal of 101001100001009 is 900100001100101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16225750734400 + 84775349266609 = 4028120^2 + 9207353^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101001100001009 - 2¹⁶ = 101001099935473 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101001100000984 and 101001100001002.

It is not an unprimeable number, because it can be changed into a prime (101001100001909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16118908454 + ... + 16118914719.

It is an arithmetic number, because the mean of its divisors is an integer number (13652718114189).

Almost surely, 2^{101001100001009} is an apocalyptic number.

It is an amenable number.

101001100001009 is a deficient number, since it is larger than the sum of its proper divisors (8220644912503).

101001100001009 is a wasteful number, since it uses less digits than its factorization.

101001100001009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32237823427.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 101001100001009 in words is "one hundred one trillion, one billion, one hundred million, one thousand, nine".