100001101000111 has 32 divisors (see below), whose sum is σ = 102183016320000. Its totient is φ = 97848255664512.

The previous prime is 100001101000091. The next prime is 100001101000133. The reversal of 100001101000111 is 111000101100001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100001101000111 - 2¹⁵ = 100001100967343 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100001101000094 and 100001101000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001101000211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15875707440 + ... + 15875713738.

It is an arithmetic number, because the mean of its divisors is an integer number (3193219260000).

Almost surely, 2^{100001101000111} is an apocalyptic number.

100001101000111 is a deficient number, since it is larger than the sum of its proper divisors (2181915319889).

100001101000111 is a wasteful number, since it uses less digits than its factorization.

100001101000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10591.

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

Adding to 100001101000111 its reverse (111000101100001), we get a palindrome (211001202100112).

The spelling of 100001101000111 in words is "one hundred trillion, one billion, one hundred one million, one hundred eleven", and thus it is an aban number.