100110100100111 has 8 divisors (see below), whose sum is σ = 101903748201600. Its totient is φ = 98319680890200.

The previous prime is 100110100100089. The next prime is 100110100100117. The reversal of 100110100100111 is 111001001011001.

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 100110100100111 - 2⁴² = 95712053589007 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110100100117) 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, 807160331 + ... + 807284348.

It is an arithmetic number, because the mean of its divisors is an integer number (12737968525200).

Almost surely, 2^{100110100100111} is an apocalyptic number.

100110100100111 is a deficient number, since it is larger than the sum of its proper divisors (1793648101489).

100110100100111 is a wasteful number, since it uses less digits than its factorization.

100110100100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614445789.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100110100100111 its reverse (111001001011001), we get a palindrome (211111101111112).

The spelling of 100110100100111 in words is "one hundred trillion, one hundred ten billion, one hundred million, one hundred thousand, one hundred eleven".