100101110000111 has 8 divisors (see below), whose sum is σ = 110282411018448. Its totient is φ = 90100009000000.

The previous prime is 100101110000107. The next prime is 100101110000119. The reversal of 100101110000111 is 111000011101001.

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 100101110000111 - 2² = 100101110000107 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 (100101110000119) 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, 45050003390 + ... + 45050005611.

It is an arithmetic number, because the mean of its divisors is an integer number (13785301377306).

Almost surely, 2^{100101110000111} is an apocalyptic number.

100101110000111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100101110000111 is a deficient number, since it is larger than the sum of its proper divisors (10181301018337).

100101110000111 is a wasteful number, since it uses less digits than its factorization.

100101110000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90100009113.

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

Adding to 100101110000111 its reverse (111000011101001), we get a palindrome (211101121101112).

The spelling of 100101110000111 in words is "one hundred trillion, one hundred one billion, one hundred ten million, one hundred eleven", and thus it is an aban number.