101111100001009 has 8 divisors (see below), whose sum is σ = 115556705378240. Its totient is φ = 86665785253776.

The previous prime is 101111100001001. The next prime is 101111100001033. The reversal of 101111100001009 is 900100001111101.

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 101111100001009 - 2³ = 101111100001001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101111100000983 and 101111100001001.

It is not an unprimeable number, because it can be changed into a prime (101111100001001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71911479 + ... + 73304044.

It is an arithmetic number, because the mean of its divisors is an integer number (14444588172280).

Almost surely, 2^{101111100001009} is an apocalyptic number.

It is an amenable number.

101111100001009 is a deficient number, since it is larger than the sum of its proper divisors (14445605377231).

101111100001009 is an equidigital number, since it uses as much as digits as its factorization.

101111100001009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145314999.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 101111100001009 in words is "one hundred one trillion, one hundred eleven billion, one hundred million, one thousand, nine".