100100001100111 has 8 divisors (see below), whose sum is σ = 101655364932864. Its totient is φ = 98556115967640.

The previous prime is 100100001100097. The next prime is 100100001100133. The reversal of 100100001100111 is 111001100001001.

It is a happy number.

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 100100001100111 - 2²⁹ = 100099464229199 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100100001100094 and 100100001100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100001109111) 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, 2869657495 + ... + 2869692376.

It is an arithmetic number, because the mean of its divisors is an integer number (12706920616608).

Almost surely, 2^{100100001100111} is an apocalyptic number.

100100001100111 is a deficient number, since it is larger than the sum of its proper divisors (1555363832753).

100100001100111 is a wasteful number, since it uses less digits than its factorization.

100100001100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5739350141.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100100001100111 its reverse (111001100001001), we get a palindrome (211101101101112).

The spelling of 100100001100111 in words is "one hundred trillion, one hundred billion, one million, one hundred thousand, one hundred eleven".