100111000001009 has 8 divisors (see below), whose sum is σ = 100171081566528. Its totient is φ = 100050925192560.

The previous prime is 100111000000997. The next prime is 100111000001021. The reversal of 100111000001009 is 900100000111001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100111000000997) and next prime (100111000001021).

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100111000001009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100111000000984 and 100111000001002.

It is not an unprimeable number, because it can be changed into a prime (100111000001059) 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, 28108694 + ... + 31469360.

It is an arithmetic number, because the mean of its divisors is an integer number (12521385195816).

Almost surely, 2^{100111000001009} is an apocalyptic number.

It is an amenable number.

100111000001009 is a deficient number, since it is larger than the sum of its proper divisors (60081565519).

100111000001009 is a wasteful number, since it uses less digits than its factorization.

100111000001009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378535.

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

The spelling of 100111000001009 in words is "one hundred trillion, one hundred eleven billion, one thousand, nine".