101001001001009 has 4 divisors (see below), whose sum is σ = 101006575333440. Its totient is φ = 100995426668580.

The previous prime is 101001001000997. The next prime is 101001001001011. The reversal of 101001001001009 is 900100100100101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101001001001009 - 2¹⁶ = 101001000935473 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101001001000984 and 101001001001002.

It is not an unprimeable number, because it can be changed into a prime (101001001001059) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2787139037 + ... + 2787175274.

It is an arithmetic number, because the mean of its divisors is an integer number (25251643833360).

Almost surely, 2^{101001001001009} is an apocalyptic number.

It is an amenable number.

101001001001009 is a deficient number, since it is larger than the sum of its proper divisors (5574332431).

101001001001009 is an equidigital number, since it uses as much as digits as its factorization.

101001001001009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5574332430.

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

The spelling of 101001001001009 in words is "one hundred one trillion, one billion, one million, one thousand, nine".