101012001009 has 4 divisors (see below), whose sum is σ = 134682668016. Its totient is φ = 67341334004.

The previous prime is 101012001007. The next prime is 101012001037. The reversal of 101012001009 is 900100210101.

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 101012001009 - 2¹ = 101012001007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101012001007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16835333499 + ... + 16835333504.

It is an arithmetic number, because the mean of its divisors is an integer number (33670667004).

Almost surely, 2^101012001009 is an apocalyptic number.

It is an amenable number.

101012001009 is a deficient number, since it is larger than the sum of its proper divisors (33670667007).

101012001009 is an equidigital number, since it uses as much as digits as its factorization.

101012001009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33670667006.

The product of its (nonzero) digits is 18, while the sum is 15.

The spelling of 101012001009 in words is "one hundred one billion, twelve million, one thousand, nine".