100000100000111 has 16 divisors (see below), whose sum is σ = 103507180560000. Its totient is φ = 96548711443200.

The previous prime is 100000100000089. The next prime is 100000100000167. The reversal of 100000100000111 is 111000001000001.

It is a cyclic number.

It is not a de Polignac number, because 100000100000111 - 2¹⁴ = 100000099983727 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100000100000095 and 100000100000104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000100200111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28546136 + ... + 31857213.

It is an arithmetic number, because the mean of its divisors is an integer number (6469198785000).

Almost surely, 2^{100000100000111} is an apocalyptic number.

100000100000111 is a deficient number, since it is larger than the sum of its proper divisors (3507080559889).

100000100000111 is a wasteful number, since it uses less digits than its factorization.

100000100000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60403810.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100000100000111 its reverse (111000001000001), we get a palindrome (211000101000112).

It can be divided in two parts, 1000001000001 and 11, that multiplied together give a palindrome (11000011000011).

The spelling of 100000100000111 in words is "one hundred trillion, one hundred million, one hundred eleven", and thus it is an aban number.