100000101101111 has 32 divisors (see below), whose sum is σ = 104928491086848. Its totient is φ = 95121526832640.

The previous prime is 100000101101101. The next prime is 100000101101143. The reversal of 100000101101111 is 111101101000001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100000101101111 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 (100000101101101) 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, 8763476996 + ... + 8763488406.

It is an arithmetic number, because the mean of its divisors is an integer number (3279015346464).

Almost surely, 2^{100000101101111} is an apocalyptic number.

100000101101111 is a deficient number, since it is larger than the sum of its proper divisors (4928389985737).

100000101101111 is a wasteful number, since it uses less digits than its factorization.

100000101101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14111.

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

Adding to 100000101101111 its reverse (111101101000001), we get a palindrome (211101202101112).

The spelling of 100000101101111 in words is "one hundred trillion, one hundred one million, one hundred one thousand, one hundred eleven".